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Finding the Fourth Proportional to 240.56, 360.90 and 96.44

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Solution

The fourth proportional to 240.56, 360.90 and 96.44 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.56 : 360.90 = 96.44 : x
  2. Step 2: Convert to fraction form
    240.56/360.90 = 96.44/x
  3. Step 3: Cross multiply
    240.56x = 360.90 × 96.44
  4. Step 4: Simplify right side
    240.56x = 34,805.20
  5. Step 5: Solve for x
    x = 34,805.20/240.56
  6. Step 6: Final answer
    x = 144.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.