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Finding the Fourth Proportional to 610.06, 915.09 and 225.22

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Solution

The fourth proportional to 610.06, 915.09 and 225.22 is: 337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.06 : 915.09 = 225.22 : x
  2. Step 2: Convert to fraction form
    610.06/915.09 = 225.22/x
  3. Step 3: Cross multiply
    610.06x = 915.09 × 225.22
  4. Step 4: Simplify right side
    610.06x = 206,096.57
  5. Step 5: Solve for x
    x = 206,096.57/610.06
  6. Step 6: Final answer
    x = 337.83

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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.