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Finding the Fourth Proportional to 240.22, 360.40 and 116.83

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Solution

The fourth proportional to 240.22, 360.40 and 116.83 is: 175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.22 : 360.40 = 116.83 : x
  2. Step 2: Convert to fraction form
    240.22/360.40 = 116.83/x
  3. Step 3: Cross multiply
    240.22x = 360.40 × 116.83
  4. Step 4: Simplify right side
    240.22x = 42,105.53
  5. Step 5: Solve for x
    x = 42,105.53/240.22
  6. Step 6: Final answer
    x = 175.28

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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.