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Finding the Fourth Proportional to 169.19, 233.42 and 117.47

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Solution

The fourth proportional to 169.19, 233.42 and 117.47 is: 162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.19 : 233.42 = 117.47 : x
  2. Step 2: Convert to fraction form
    169.19/233.42 = 117.47/x
  3. Step 3: Cross multiply
    169.19x = 233.42 × 117.47
  4. Step 4: Simplify right side
    169.19x = 27,418.97
  5. Step 5: Solve for x
    x = 27,418.97/169.19
  6. Step 6: Final answer
    x = 162.07

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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.