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Finding the Fourth Proportional to 610.43, 915.50 and 199.55

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Solution

The fourth proportional to 610.43, 915.50 and 199.55 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.43 : 915.50 = 199.55 : x
  2. Step 2: Convert to fraction form
    610.43/915.50 = 199.55/x
  3. Step 3: Cross multiply
    610.43x = 915.50 × 199.55
  4. Step 4: Simplify right side
    610.43x = 182,682.45
  5. Step 5: Solve for x
    x = 182,682.45/610.43
  6. Step 6: Final answer
    x = 299.27

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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.