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Finding the Fourth Proportional to 215.47, 297.19 and 132.44

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Solution

The fourth proportional to 215.47, 297.19 and 132.44 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 297.19 = 132.44 : x
  2. Step 2: Convert to fraction form
    215.47/297.19 = 132.44/x
  3. Step 3: Cross multiply
    215.47x = 297.19 × 132.44
  4. Step 4: Simplify right side
    215.47x = 39,358.06
  5. Step 5: Solve for x
    x = 39,358.06/215.47
  6. Step 6: Final answer
    x = 182.66

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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.