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Finding the Fourth Proportional to 462.15, 693.08 and 153.92

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Solution

The fourth proportional to 462.15, 693.08 and 153.92 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.15 : 693.08 = 153.92 : x
  2. Step 2: Convert to fraction form
    462.15/693.08 = 153.92/x
  3. Step 3: Cross multiply
    462.15x = 693.08 × 153.92
  4. Step 4: Simplify right side
    462.15x = 106,680.41
  5. Step 5: Solve for x
    x = 106,680.41/462.15
  6. Step 6: Final answer
    x = 230.83

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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.