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Finding the Fourth Proportional to 240.38, 360.60 and 78.05

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Solution

The fourth proportional to 240.38, 360.60 and 78.05 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 360.60 = 78.05 : x
  2. Step 2: Convert to fraction form
    240.38/360.60 = 78.05/x
  3. Step 3: Cross multiply
    240.38x = 360.60 × 78.05
  4. Step 4: Simplify right side
    240.38x = 28,143.85
  5. Step 5: Solve for x
    x = 28,143.85/240.38
  6. Step 6: Final answer
    x = 117.08

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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.