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Finding the Fourth Proportional to 240.27, 360.34 and 116.87

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Solution

The fourth proportional to 240.27, 360.34 and 116.87 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.27 : 360.34 = 116.87 : x
  2. Step 2: Convert to fraction form
    240.27/360.34 = 116.87/x
  3. Step 3: Cross multiply
    240.27x = 360.34 × 116.87
  4. Step 4: Simplify right side
    240.27x = 42,112.18
  5. Step 5: Solve for x
    x = 42,112.18/240.27
  6. Step 6: Final answer
    x = 175.27

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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.