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Finding the Fourth Proportional to 563.40, 845.16 and 178.56

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Solution

The fourth proportional to 563.40, 845.16 and 178.56 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 845.16 = 178.56 : x
  2. Step 2: Convert to fraction form
    563.40/845.16 = 178.56/x
  3. Step 3: Cross multiply
    563.40x = 845.16 × 178.56
  4. Step 4: Simplify right side
    563.40x = 150,911.77
  5. Step 5: Solve for x
    x = 150,911.77/563.40
  6. Step 6: Final answer
    x = 267.86

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.