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Finding the Fourth Proportional to 337.42, 505.15 and 198.17

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Solution

The fourth proportional to 337.42, 505.15 and 198.17 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.42 : 505.15 = 198.17 : x
  2. Step 2: Convert to fraction form
    337.42/505.15 = 198.17/x
  3. Step 3: Cross multiply
    337.42x = 505.15 × 198.17
  4. Step 4: Simplify right side
    337.42x = 100,105.58
  5. Step 5: Solve for x
    x = 100,105.58/337.42
  6. Step 6: Final answer
    x = 296.68

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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.