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Finding the Fourth Proportional to 279.68, 385.71 and 174.56

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Solution

The fourth proportional to 279.68, 385.71 and 174.56 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 385.71 = 174.56 : x
  2. Step 2: Convert to fraction form
    279.68/385.71 = 174.56/x
  3. Step 3: Cross multiply
    279.68x = 385.71 × 174.56
  4. Step 4: Simplify right side
    279.68x = 67,329.54
  5. Step 5: Solve for x
    x = 67,329.54/279.68
  6. Step 6: Final answer
    x = 240.74

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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.