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Finding the Fourth Proportional to 154.26, 230.42 and 129.96

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Solution

The fourth proportional to 154.26, 230.42 and 129.96 is: 194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.26 : 230.42 = 129.96 : x
  2. Step 2: Convert to fraction form
    154.26/230.42 = 129.96/x
  3. Step 3: Cross multiply
    154.26x = 230.42 × 129.96
  4. Step 4: Simplify right side
    154.26x = 29,944.73
  5. Step 5: Solve for x
    x = 29,944.73/154.26
  6. Step 6: Final answer
    x = 194.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.