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Finding the Fourth Proportional to 240.15, 360.18 and 77.82

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Solution

The fourth proportional to 240.15, 360.18 and 77.82 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.15 : 360.18 = 77.82 : x
  2. Step 2: Convert to fraction form
    240.15/360.18 = 77.82/x
  3. Step 3: Cross multiply
    240.15x = 360.18 × 77.82
  4. Step 4: Simplify right side
    240.15x = 28,029.21
  5. Step 5: Solve for x
    x = 28,029.21/240.15
  6. Step 6: Final answer
    x = 116.72

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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.