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Finding the Fourth Proportional to 132.40, 182.96 and 119.28

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Solution

The fourth proportional to 132.40, 182.96 and 119.28 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 182.96 = 119.28 : x
  2. Step 2: Convert to fraction form
    132.40/182.96 = 119.28/x
  3. Step 3: Cross multiply
    132.40x = 182.96 × 119.28
  4. Step 4: Simplify right side
    132.40x = 21,823.47
  5. Step 5: Solve for x
    x = 21,823.47/132.40
  6. Step 6: Final answer
    x = 164.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.