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Finding the Fourth Proportional to 154.14, 230.12 and 129.84

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Solution

The fourth proportional to 154.14, 230.12 and 129.84 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 230.12 = 129.84 : x
  2. Step 2: Convert to fraction form
    154.14/230.12 = 129.84/x
  3. Step 3: Cross multiply
    154.14x = 230.12 × 129.84
  4. Step 4: Simplify right side
    154.14x = 29,878.78
  5. Step 5: Solve for x
    x = 29,878.78/154.14
  6. Step 6: Final answer
    x = 193.84

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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.