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Finding the Fourth Proportional to 136.74, 204.42 and 134.04

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Solution

The fourth proportional to 136.74, 204.42 and 134.04 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 204.42 = 134.04 : x
  2. Step 2: Convert to fraction form
    136.74/204.42 = 134.04/x
  3. Step 3: Cross multiply
    136.74x = 204.42 × 134.04
  4. Step 4: Simplify right side
    136.74x = 27,400.46
  5. Step 5: Solve for x
    x = 27,400.46/136.74
  6. Step 6: Final answer
    x = 200.38

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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.