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Finding the Fourth Proportional to 219.80, 303.37 and 132.52

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Solution

The fourth proportional to 219.80, 303.37 and 132.52 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 303.37 = 132.52 : x
  2. Step 2: Convert to fraction form
    219.80/303.37 = 132.52/x
  3. Step 3: Cross multiply
    219.80x = 303.37 × 132.52
  4. Step 4: Simplify right side
    219.80x = 40,202.59
  5. Step 5: Solve for x
    x = 40,202.59/219.80
  6. Step 6: Final answer
    x = 182.91

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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.