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Finding the Fourth Proportional to 134.26, 201.20 and 119.84

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Solution

The fourth proportional to 134.26, 201.20 and 119.84 is: 179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.26 : 201.20 = 119.84 : x
  2. Step 2: Convert to fraction form
    134.26/201.20 = 119.84/x
  3. Step 3: Cross multiply
    134.26x = 201.20 × 119.84
  4. Step 4: Simplify right side
    134.26x = 24,111.81
  5. Step 5: Solve for x
    x = 24,111.81/134.26
  6. Step 6: Final answer
    x = 179.59

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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.