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Finding the Fourth Proportional to 132.81, 198.18 and 119.19

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Solution

The fourth proportional to 132.81, 198.18 and 119.19 is: 177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 198.18 = 119.19 : x
  2. Step 2: Convert to fraction form
    132.81/198.18 = 119.19/x
  3. Step 3: Cross multiply
    132.81x = 198.18 × 119.19
  4. Step 4: Simplify right side
    132.81x = 23,621.07
  5. Step 5: Solve for x
    x = 23,621.07/132.81
  6. Step 6: Final answer
    x = 177.86

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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.