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Finding the Fourth Proportional to 563.88, 845.80 and 179.14

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Solution

The fourth proportional to 563.88, 845.80 and 179.14 is: 268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 845.80 = 179.14 : x
  2. Step 2: Convert to fraction form
    563.88/845.80 = 179.14/x
  3. Step 3: Cross multiply
    563.88x = 845.80 × 179.14
  4. Step 4: Simplify right side
    563.88x = 151,516.61
  5. Step 5: Solve for x
    x = 151,516.61/563.88
  6. Step 6: Final answer
    x = 268.70

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