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Finding the Fourth Proportional to 240.66, 360.78 and 96.34

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Solution

The fourth proportional to 240.66, 360.78 and 96.34 is: 144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 360.78 = 96.34 : x
  2. Step 2: Convert to fraction form
    240.66/360.78 = 96.34/x
  3. Step 3: Cross multiply
    240.66x = 360.78 × 96.34
  4. Step 4: Simplify right side
    240.66x = 34,757.55
  5. Step 5: Solve for x
    x = 34,757.55/240.66
  6. Step 6: Final answer
    x = 144.43

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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.