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Finding the Fourth Proportional to 265.81, 398.31 and 179.14

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Solution

The fourth proportional to 265.81, 398.31 and 179.14 is: 268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.81 : 398.31 = 179.14 : x
  2. Step 2: Convert to fraction form
    265.81/398.31 = 179.14/x
  3. Step 3: Cross multiply
    265.81x = 398.31 × 179.14
  4. Step 4: Simplify right side
    265.81x = 71,353.25
  5. Step 5: Solve for x
    x = 71,353.25/265.81
  6. Step 6: Final answer
    x = 268.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.