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Finding the Fourth Proportional to 616.98, 925.66 and 227.17

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Solution

The fourth proportional to 616.98, 925.66 and 227.17 is: 340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.98 : 925.66 = 227.17 : x
  2. Step 2: Convert to fraction form
    616.98/925.66 = 227.17/x
  3. Step 3: Cross multiply
    616.98x = 925.66 × 227.17
  4. Step 4: Simplify right side
    616.98x = 210,279.30
  5. Step 5: Solve for x
    x = 210,279.30/616.98
  6. Step 6: Final answer
    x = 340.82

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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.