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Finding the Fourth Proportional to 240.56, 360.78 and 96.26

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Solution

The fourth proportional to 240.56, 360.78 and 96.26 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.56 : 360.78 = 96.26 : x
  2. Step 2: Convert to fraction form
    240.56/360.78 = 96.26/x
  3. Step 3: Cross multiply
    240.56x = 360.78 × 96.26
  4. Step 4: Simplify right side
    240.56x = 34,728.68
  5. Step 5: Solve for x
    x = 34,728.68/240.56
  6. Step 6: Final answer
    x = 144.37

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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.