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Finding the Fourth Proportional to 174.12, 240.30 and 116

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Solution

The fourth proportional to 174.12, 240.30 and 116 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.12 : 240.30 = 116 : x
  2. Step 2: Convert to fraction form
    174.12/240.30 = 116/x
  3. Step 3: Cross multiply
    174.12x = 240.30 × 116
  4. Step 4: Simplify right side
    174.12x = 27,874.80
  5. Step 5: Solve for x
    x = 27,874.80/174.12
  6. Step 6: Final answer
    x = 160.09

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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.