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Finding the Fourth Proportional to 215.17, 296.92 and 132.32

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Solution

The fourth proportional to 215.17, 296.92 and 132.32 is: 182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.17 : 296.92 = 132.32 : x
  2. Step 2: Convert to fraction form
    215.17/296.92 = 132.32/x
  3. Step 3: Cross multiply
    215.17x = 296.92 × 132.32
  4. Step 4: Simplify right side
    215.17x = 39,288.45
  5. Step 5: Solve for x
    x = 39,288.45/215.17
  6. Step 6: Final answer
    x = 182.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.