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Finding the Fourth Proportional to 265.69, 398.42 and 103.27

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Solution

The fourth proportional to 265.69, 398.42 and 103.27 is: 154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.69 : 398.42 = 103.27 : x
  2. Step 2: Convert to fraction form
    265.69/398.42 = 103.27/x
  3. Step 3: Cross multiply
    265.69x = 398.42 × 103.27
  4. Step 4: Simplify right side
    265.69x = 41,144.83
  5. Step 5: Solve for x
    x = 41,144.83/265.69
  6. Step 6: Final answer
    x = 154.86

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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.