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Finding the Fourth Proportional to 563.28, 844.98 and 178.56

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Solution

The fourth proportional to 563.28, 844.98 and 178.56 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 844.98 = 178.56 : x
  2. Step 2: Convert to fraction form
    563.28/844.98 = 178.56/x
  3. Step 3: Cross multiply
    563.28x = 844.98 × 178.56
  4. Step 4: Simplify right side
    563.28x = 150,879.63
  5. Step 5: Solve for x
    x = 150,879.63/563.28
  6. Step 6: Final answer
    x = 267.86

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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.