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Finding the Fourth Proportional to 174.13, 239.59 and 168.14

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Solution

The fourth proportional to 174.13, 239.59 and 168.14 is: 231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.13 : 239.59 = 168.14 : x
  2. Step 2: Convert to fraction form
    174.13/239.59 = 168.14/x
  3. Step 3: Cross multiply
    174.13x = 239.59 × 168.14
  4. Step 4: Simplify right side
    174.13x = 40,284.66
  5. Step 5: Solve for x
    x = 40,284.66/174.13
  6. Step 6: Final answer
    x = 231.35

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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.