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Finding the Fourth Proportional to 240.08, 360.14 and 110.12

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Solution

The fourth proportional to 240.08, 360.14 and 110.12 is: 165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.08 : 360.14 = 110.12 : x
  2. Step 2: Convert to fraction form
    240.08/360.14 = 110.12/x
  3. Step 3: Cross multiply
    240.08x = 360.14 × 110.12
  4. Step 4: Simplify right side
    240.08x = 39,658.62
  5. Step 5: Solve for x
    x = 39,658.62/240.08
  6. Step 6: Final answer
    x = 165.19

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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.