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Finding the Fourth Proportional to 242.32, 363.16 and 132.68

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Solution

The fourth proportional to 242.32, 363.16 and 132.68 is: 198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 363.16 = 132.68 : x
  2. Step 2: Convert to fraction form
    242.32/363.16 = 132.68/x
  3. Step 3: Cross multiply
    242.32x = 363.16 × 132.68
  4. Step 4: Simplify right side
    242.32x = 48,184.07
  5. Step 5: Solve for x
    x = 48,184.07/242.32
  6. Step 6: Final answer
    x = 198.84

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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.