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Finding the Fourth Proportional to 242.32, 334.41 and 144.04

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Solution

The fourth proportional to 242.32, 334.41 and 144.04 is: 198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 334.41 = 144.04 : x
  2. Step 2: Convert to fraction form
    242.32/334.41 = 144.04/x
  3. Step 3: Cross multiply
    242.32x = 334.41 × 144.04
  4. Step 4: Simplify right side
    242.32x = 48,168.42
  5. Step 5: Solve for x
    x = 48,168.42/242.32
  6. Step 6: Final answer
    x = 198.78

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