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Finding the Fourth Proportional to 279.64, 385.76 and 174.68

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Solution

The fourth proportional to 279.64, 385.76 and 174.68 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.64 : 385.76 = 174.68 : x
  2. Step 2: Convert to fraction form
    279.64/385.76 = 174.68/x
  3. Step 3: Cross multiply
    279.64x = 385.76 × 174.68
  4. Step 4: Simplify right side
    279.64x = 67,384.56
  5. Step 5: Solve for x
    x = 67,384.56/279.64
  6. Step 6: Final answer
    x = 240.97

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Why These Related Problems?

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