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Finding the Fourth Proportional to 308.29, 462.03 and 125.58

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Solution

The fourth proportional to 308.29, 462.03 and 125.58 is: 188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.29 : 462.03 = 125.58 : x
  2. Step 2: Convert to fraction form
    308.29/462.03 = 125.58/x
  3. Step 3: Cross multiply
    308.29x = 462.03 × 125.58
  4. Step 4: Simplify right side
    308.29x = 58,021.10
  5. Step 5: Solve for x
    x = 58,021.10/308.29
  6. Step 6: Final answer
    x = 188.21

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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.