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Finding the Fourth Proportional to 134.18, 201.84 and 132.81

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Solution

The fourth proportional to 134.18, 201.84 and 132.81 is: 199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.18 : 201.84 = 132.81 : x
  2. Step 2: Convert to fraction form
    134.18/201.84 = 132.81/x
  3. Step 3: Cross multiply
    134.18x = 201.84 × 132.81
  4. Step 4: Simplify right side
    134.18x = 26,807.57
  5. Step 5: Solve for x
    x = 26,807.57/134.18
  6. Step 6: Final answer
    x = 199.79

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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.