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Finding the Fourth Proportional to 610.12, 915.24 and 177.25

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Solution

The fourth proportional to 610.12, 915.24 and 177.25 is: 265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.12 : 915.24 = 177.25 : x
  2. Step 2: Convert to fraction form
    610.12/915.24 = 177.25/x
  3. Step 3: Cross multiply
    610.12x = 915.24 × 177.25
  4. Step 4: Simplify right side
    610.12x = 162,226.29
  5. Step 5: Solve for x
    x = 162,226.29/610.12
  6. Step 6: Final answer
    x = 265.89

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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.