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Finding the Fourth Proportional to 242.20, 362.38 and 134.07

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Solution

The fourth proportional to 242.20, 362.38 and 134.07 is: 200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.20 : 362.38 = 134.07 : x
  2. Step 2: Convert to fraction form
    242.20/362.38 = 134.07/x
  3. Step 3: Cross multiply
    242.20x = 362.38 × 134.07
  4. Step 4: Simplify right side
    242.20x = 48,584.29
  5. Step 5: Solve for x
    x = 48,584.29/242.20
  6. Step 6: Final answer
    x = 200.60

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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.