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Finding the Fourth Proportional to 308.40, 462.57 and 102.96

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Solution

The fourth proportional to 308.40, 462.57 and 102.96 is: 154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.40 : 462.57 = 102.96 : x
  2. Step 2: Convert to fraction form
    308.40/462.57 = 102.96/x
  3. Step 3: Cross multiply
    308.40x = 462.57 × 102.96
  4. Step 4: Simplify right side
    308.40x = 47,626.21
  5. Step 5: Solve for x
    x = 47,626.21/308.40
  6. Step 6: Final answer
    x = 154.43

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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.