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Finding the Fourth Proportional to 169.15, 233.16 and 136.36

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Solution

The fourth proportional to 169.15, 233.16 and 136.36 is: 187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.15 : 233.16 = 136.36 : x
  2. Step 2: Convert to fraction form
    169.15/233.16 = 136.36/x
  3. Step 3: Cross multiply
    169.15x = 233.16 × 136.36
  4. Step 4: Simplify right side
    169.15x = 31,793.70
  5. Step 5: Solve for x
    x = 31,793.70/169.15
  6. Step 6: Final answer
    x = 187.96

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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.