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Finding the Fourth Proportional to 215.14, 296.96 and 132.22

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Solution

The fourth proportional to 215.14, 296.96 and 132.22 is: 182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.14 : 296.96 = 132.22 : x
  2. Step 2: Convert to fraction form
    215.14/296.96 = 132.22/x
  3. Step 3: Cross multiply
    215.14x = 296.96 × 132.22
  4. Step 4: Simplify right side
    215.14x = 39,264.05
  5. Step 5: Solve for x
    x = 39,264.05/215.14
  6. Step 6: Final answer
    x = 182.50

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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.