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Finding the Fourth Proportional to 610.36, 915.60 and 177.52

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Solution

The fourth proportional to 610.36, 915.60 and 177.52 is: 266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.36 : 915.60 = 177.52 : x
  2. Step 2: Convert to fraction form
    610.36/915.60 = 177.52/x
  3. Step 3: Cross multiply
    610.36x = 915.60 × 177.52
  4. Step 4: Simplify right side
    610.36x = 162,537.31
  5. Step 5: Solve for x
    x = 162,537.31/610.36
  6. Step 6: Final answer
    x = 266.30

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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.