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Finding the Fourth Proportional to 259.75, 357.96 and 240.13

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Solution

The fourth proportional to 259.75, 357.96 and 240.13 is: 330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 357.96 = 240.13 : x
  2. Step 2: Convert to fraction form
    259.75/357.96 = 240.13/x
  3. Step 3: Cross multiply
    259.75x = 357.96 × 240.13
  4. Step 4: Simplify right side
    259.75x = 85,956.93
  5. Step 5: Solve for x
    x = 85,956.93/259.75
  6. Step 6: Final answer
    x = 330.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.