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Finding the Fourth Proportional to 610.10, 915.14 and 199.27

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Solution

The fourth proportional to 610.10, 915.14 and 199.27 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 915.14 = 199.27 : x
  2. Step 2: Convert to fraction form
    610.10/915.14 = 199.27/x
  3. Step 3: Cross multiply
    610.10x = 915.14 × 199.27
  4. Step 4: Simplify right side
    610.10x = 182,359.95
  5. Step 5: Solve for x
    x = 182,359.95/610.10
  6. Step 6: Final answer
    x = 298.90

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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.