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Finding the Fourth Proportional to 265.46, 398.16 and 80.38

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Solution

The fourth proportional to 265.46, 398.16 and 80.38 is: 120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.46 : 398.16 = 80.38 : x
  2. Step 2: Convert to fraction form
    265.46/398.16 = 80.38/x
  3. Step 3: Cross multiply
    265.46x = 398.16 × 80.38
  4. Step 4: Simplify right side
    265.46x = 32,004.10
  5. Step 5: Solve for x
    x = 32,004.10/265.46
  6. Step 6: Final answer
    x = 120.56

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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.