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Finding the Fourth Proportional to 135.39, 201.46 and 134.93

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Solution

The fourth proportional to 135.39, 201.46 and 134.93 is: 200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.39 : 201.46 = 134.93 : x
  2. Step 2: Convert to fraction form
    135.39/201.46 = 134.93/x
  3. Step 3: Cross multiply
    135.39x = 201.46 × 134.93
  4. Step 4: Simplify right side
    135.39x = 27,182.83
  5. Step 5: Solve for x
    x = 27,182.83/135.39
  6. Step 6: Final answer
    x = 200.78

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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.