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Finding the Fourth Proportional to 240.24, 360.30 and 77.90

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Solution

The fourth proportional to 240.24, 360.30 and 77.90 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 360.30 = 77.90 : x
  2. Step 2: Convert to fraction form
    240.24/360.30 = 77.90/x
  3. Step 3: Cross multiply
    240.24x = 360.30 × 77.90
  4. Step 4: Simplify right side
    240.24x = 28,065.57
  5. Step 5: Solve for x
    x = 28,065.57/240.24
  6. Step 6: Final answer
    x = 116.82

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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.