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Finding the Fourth Proportional to 242.28, 334.36 and 144.09

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Solution

The fourth proportional to 242.28, 334.36 and 144.09 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 334.36 = 144.09 : x
  2. Step 2: Convert to fraction form
    242.28/334.36 = 144.09/x
  3. Step 3: Cross multiply
    242.28x = 334.36 × 144.09
  4. Step 4: Simplify right side
    242.28x = 48,177.93
  5. Step 5: Solve for x
    x = 48,177.93/242.28
  6. Step 6: Final answer
    x = 198.85

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Why These Related Problems?

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