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Finding the Fourth Proportional to 142.44, 212.64 and 132.96

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Solution

The fourth proportional to 142.44, 212.64 and 132.96 is: 198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.44 : 212.64 = 132.96 : x
  2. Step 2: Convert to fraction form
    142.44/212.64 = 132.96/x
  3. Step 3: Cross multiply
    142.44x = 212.64 × 132.96
  4. Step 4: Simplify right side
    142.44x = 28,272.61
  5. Step 5: Solve for x
    x = 28,272.61/142.44
  6. Step 6: Final answer
    x = 198.49

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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.