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Finding the Fourth Proportional to 462.86, 694.06 and 154.61

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Solution

The fourth proportional to 462.86, 694.06 and 154.61 is: 231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 694.06 = 154.61 : x
  2. Step 2: Convert to fraction form
    462.86/694.06 = 154.61/x
  3. Step 3: Cross multiply
    462.86x = 694.06 × 154.61
  4. Step 4: Simplify right side
    462.86x = 107,306.49
  5. Step 5: Solve for x
    x = 107,306.49/462.86
  6. Step 6: Final answer
    x = 231.83

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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.