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Finding the Fourth Proportional to 610.29, 915.51 and 199.47

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Solution

The fourth proportional to 610.29, 915.51 and 199.47 is: 299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 915.51 = 199.47 : x
  2. Step 2: Convert to fraction form
    610.29/915.51 = 199.47/x
  3. Step 3: Cross multiply
    610.29x = 915.51 × 199.47
  4. Step 4: Simplify right side
    610.29x = 182,616.78
  5. Step 5: Solve for x
    x = 182,616.78/610.29
  6. Step 6: Final answer
    x = 299.23

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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.