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Finding the Fourth Proportional to 169.91, 234.25 and 117.36

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Solution

The fourth proportional to 169.91, 234.25 and 117.36 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 234.25 = 117.36 : x
  2. Step 2: Convert to fraction form
    169.91/234.25 = 117.36/x
  3. Step 3: Cross multiply
    169.91x = 234.25 × 117.36
  4. Step 4: Simplify right side
    169.91x = 27,491.29
  5. Step 5: Solve for x
    x = 27,491.29/169.91
  6. Step 6: Final answer
    x = 161.80

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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.