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Finding the Fourth Proportional to 610.43, 915.80 and 177.58

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Solution

The fourth proportional to 610.43, 915.80 and 177.58 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.43 : 915.80 = 177.58 : x
  2. Step 2: Convert to fraction form
    610.43/915.80 = 177.58/x
  3. Step 3: Cross multiply
    610.43x = 915.80 × 177.58
  4. Step 4: Simplify right side
    610.43x = 162,625.92
  5. Step 5: Solve for x
    x = 162,625.92/610.43
  6. Step 6: Final answer
    x = 266.41

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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.