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Finding the Fourth Proportional to 169.31, 233.66 and 136.04

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Solution

The fourth proportional to 169.31, 233.66 and 136.04 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 233.66 = 136.04 : x
  2. Step 2: Convert to fraction form
    169.31/233.66 = 136.04/x
  3. Step 3: Cross multiply
    169.31x = 233.66 × 136.04
  4. Step 4: Simplify right side
    169.31x = 31,786.28
  5. Step 5: Solve for x
    x = 31,786.28/169.31
  6. Step 6: Final answer
    x = 187.74

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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.