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Finding the Fourth Proportional to 180.80, 271.32 and 132.82

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Solution

The fourth proportional to 180.80, 271.32 and 132.82 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.32 = 132.82 : x
  2. Step 2: Convert to fraction form
    180.80/271.32 = 132.82/x
  3. Step 3: Cross multiply
    180.80x = 271.32 × 132.82
  4. Step 4: Simplify right side
    180.80x = 36,036.72
  5. Step 5: Solve for x
    x = 36,036.72/180.80
  6. Step 6: Final answer
    x = 199.32

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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.