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Finding the Fourth Proportional to 215.05, 296.82 and 132.14

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Solution

The fourth proportional to 215.05, 296.82 and 132.14 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.05 : 296.82 = 132.14 : x
  2. Step 2: Convert to fraction form
    215.05/296.82 = 132.14/x
  3. Step 3: Cross multiply
    215.05x = 296.82 × 132.14
  4. Step 4: Simplify right side
    215.05x = 39,221.79
  5. Step 5: Solve for x
    x = 39,221.79/215.05
  6. Step 6: Final answer
    x = 182.39

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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.