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Finding the Fourth Proportional to 174.31, 261.06 and 116.38

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Solution

The fourth proportional to 174.31, 261.06 and 116.38 is: 174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 261.06 = 116.38 : x
  2. Step 2: Convert to fraction form
    174.31/261.06 = 116.38/x
  3. Step 3: Cross multiply
    174.31x = 261.06 × 116.38
  4. Step 4: Simplify right side
    174.31x = 30,382.16
  5. Step 5: Solve for x
    x = 30,382.16/174.31
  6. Step 6: Final answer
    x = 174.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.