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Finding the Fourth Proportional to 240.38, 360.72 and 103.54

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Solution

The fourth proportional to 240.38, 360.72 and 103.54 is: 155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 360.72 = 103.54 : x
  2. Step 2: Convert to fraction form
    240.38/360.72 = 103.54/x
  3. Step 3: Cross multiply
    240.38x = 360.72 × 103.54
  4. Step 4: Simplify right side
    240.38x = 37,348.95
  5. Step 5: Solve for x
    x = 37,348.95/240.38
  6. Step 6: Final answer
    x = 155.37

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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.