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Finding the Fourth Proportional to 135.38, 204.02 and 134.16

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Solution

The fourth proportional to 135.38, 204.02 and 134.16 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 204.02 = 134.16 : x
  2. Step 2: Convert to fraction form
    135.38/204.02 = 134.16/x
  3. Step 3: Cross multiply
    135.38x = 204.02 × 134.16
  4. Step 4: Simplify right side
    135.38x = 27,371.32
  5. Step 5: Solve for x
    x = 27,371.32/135.38
  6. Step 6: Final answer
    x = 202.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.