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Finding the Fourth Proportional to 215.64, 297.62 and 132.80

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Solution

The fourth proportional to 215.64, 297.62 and 132.80 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 297.62 = 132.80 : x
  2. Step 2: Convert to fraction form
    215.64/297.62 = 132.80/x
  3. Step 3: Cross multiply
    215.64x = 297.62 × 132.80
  4. Step 4: Simplify right side
    215.64x = 39,523.94
  5. Step 5: Solve for x
    x = 39,523.94/215.64
  6. Step 6: Final answer
    x = 183.29

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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.