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Finding the Fourth Proportional to 215.76, 297.42 and 132.81

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Solution

The fourth proportional to 215.76, 297.42 and 132.81 is: 183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 297.42 = 132.81 : x
  2. Step 2: Convert to fraction form
    215.76/297.42 = 132.81/x
  3. Step 3: Cross multiply
    215.76x = 297.42 × 132.81
  4. Step 4: Simplify right side
    215.76x = 39,500.35
  5. Step 5: Solve for x
    x = 39,500.35/215.76
  6. Step 6: Final answer
    x = 183.08

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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.