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Finding the Fourth Proportional to 279, 416.68 and 240.56

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Solution

The fourth proportional to 279, 416.68 and 240.56 is: 359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 416.68 = 240.56 : x
  2. Step 2: Convert to fraction form
    279/416.68 = 240.56/x
  3. Step 3: Cross multiply
    279x = 416.68 × 240.56
  4. Step 4: Simplify right side
    279x = 100,236.54
  5. Step 5: Solve for x
    x = 100,236.54/279
  6. Step 6: Final answer
    x = 359.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.