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Finding the Fourth Proportional to 169.78, 233.78 and 132.88

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Solution

The fourth proportional to 169.78, 233.78 and 132.88 is: 182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 233.78 = 132.88 : x
  2. Step 2: Convert to fraction form
    169.78/233.78 = 132.88/x
  3. Step 3: Cross multiply
    169.78x = 233.78 × 132.88
  4. Step 4: Simplify right side
    169.78x = 31,064.69
  5. Step 5: Solve for x
    x = 31,064.69/169.78
  6. Step 6: Final answer
    x = 182.97

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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.