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Finding the Fourth Proportional to 215.13, 296.81 and 132.18

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Solution

The fourth proportional to 215.13, 296.81 and 132.18 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 296.81 = 132.18 : x
  2. Step 2: Convert to fraction form
    215.13/296.81 = 132.18/x
  3. Step 3: Cross multiply
    215.13x = 296.81 × 132.18
  4. Step 4: Simplify right side
    215.13x = 39,231.68
  5. Step 5: Solve for x
    x = 39,231.68/215.13
  6. Step 6: Final answer
    x = 182.36

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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.