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Finding the Fourth Proportional to 215.74, 297.78 and 132.85

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Solution

The fourth proportional to 215.74, 297.78 and 132.85 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.74 : 297.78 = 132.85 : x
  2. Step 2: Convert to fraction form
    215.74/297.78 = 132.85/x
  3. Step 3: Cross multiply
    215.74x = 297.78 × 132.85
  4. Step 4: Simplify right side
    215.74x = 39,560.07
  5. Step 5: Solve for x
    x = 39,560.07/215.74
  6. Step 6: Final answer
    x = 183.37

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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.