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Finding the Fourth Proportional to 132.93, 198.36 and 119.28

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Solution

The fourth proportional to 132.93, 198.36 and 119.28 is: 177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.93 : 198.36 = 119.28 : x
  2. Step 2: Convert to fraction form
    132.93/198.36 = 119.28/x
  3. Step 3: Cross multiply
    132.93x = 198.36 × 119.28
  4. Step 4: Simplify right side
    132.93x = 23,660.38
  5. Step 5: Solve for x
    x = 23,660.38/132.93
  6. Step 6: Final answer
    x = 177.99

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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.