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Finding the Fourth Proportional to 265.28, 397.80 and 137.12

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Solution

The fourth proportional to 265.28, 397.80 and 137.12 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.28 : 397.80 = 137.12 : x
  2. Step 2: Convert to fraction form
    265.28/397.80 = 137.12/x
  3. Step 3: Cross multiply
    265.28x = 397.80 × 137.12
  4. Step 4: Simplify right side
    265.28x = 54,546.34
  5. Step 5: Solve for x
    x = 54,546.34/265.28
  6. Step 6: Final answer
    x = 205.62

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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.