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Finding the Fourth Proportional to 143.70, 198.36 and 129.12

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Solution

The fourth proportional to 143.70, 198.36 and 129.12 is: 178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 198.36 = 129.12 : x
  2. Step 2: Convert to fraction form
    143.70/198.36 = 129.12/x
  3. Step 3: Cross multiply
    143.70x = 198.36 × 129.12
  4. Step 4: Simplify right side
    143.70x = 25,612.24
  5. Step 5: Solve for x
    x = 25,612.24/143.70
  6. Step 6: Final answer
    x = 178.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.