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Finding the Fourth Proportional to 265.50, 398.13 and 103.07

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Solution

The fourth proportional to 265.50, 398.13 and 103.07 is: 154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.50 : 398.13 = 103.07 : x
  2. Step 2: Convert to fraction form
    265.50/398.13 = 103.07/x
  3. Step 3: Cross multiply
    265.50x = 398.13 × 103.07
  4. Step 4: Simplify right side
    265.50x = 41,035.26
  5. Step 5: Solve for x
    x = 41,035.26/265.50
  6. Step 6: Final answer
    x = 154.56

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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.