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Finding the Fourth Proportional to 265.92, 398.24 and 168.08

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Solution

The fourth proportional to 265.92, 398.24 and 168.08 is: 251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 398.24 = 168.08 : x
  2. Step 2: Convert to fraction form
    265.92/398.24 = 168.08/x
  3. Step 3: Cross multiply
    265.92x = 398.24 × 168.08
  4. Step 4: Simplify right side
    265.92x = 66,936.18
  5. Step 5: Solve for x
    x = 66,936.18/265.92
  6. Step 6: Final answer
    x = 251.72

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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.