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Finding the Fourth Proportional to 142.90, 214.41 and 132.57

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Solution

The fourth proportional to 142.90, 214.41 and 132.57 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 214.41 = 132.57 : x
  2. Step 2: Convert to fraction form
    142.90/214.41 = 132.57/x
  3. Step 3: Cross multiply
    142.90x = 214.41 × 132.57
  4. Step 4: Simplify right side
    142.90x = 28,424.83
  5. Step 5: Solve for x
    x = 28,424.83/142.90
  6. Step 6: Final answer
    x = 198.92

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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.