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Finding the Fourth Proportional to 610.92, 915.96 and 199.92

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Solution

The fourth proportional to 610.92, 915.96 and 199.92 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.92 : 915.96 = 199.92 : x
  2. Step 2: Convert to fraction form
    610.92/915.96 = 199.92/x
  3. Step 3: Cross multiply
    610.92x = 915.96 × 199.92
  4. Step 4: Simplify right side
    610.92x = 183,118.72
  5. Step 5: Solve for x
    x = 183,118.72/610.92
  6. Step 6: Final answer
    x = 299.74

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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.