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Finding the Fourth Proportional to 141.24, 209.64 and 132.24

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Solution

The fourth proportional to 141.24, 209.64 and 132.24 is: 196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.24 : 209.64 = 132.24 : x
  2. Step 2: Convert to fraction form
    141.24/209.64 = 132.24/x
  3. Step 3: Cross multiply
    141.24x = 209.64 × 132.24
  4. Step 4: Simplify right side
    141.24x = 27,722.79
  5. Step 5: Solve for x
    x = 27,722.79/141.24
  6. Step 6: Final answer
    x = 196.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.