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Finding the Fourth Proportional to 265.20, 397.05 and 149.43

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Solution

The fourth proportional to 265.20, 397.05 and 149.43 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.20 : 397.05 = 149.43 : x
  2. Step 2: Convert to fraction form
    265.20/397.05 = 149.43/x
  3. Step 3: Cross multiply
    265.20x = 397.05 × 149.43
  4. Step 4: Simplify right side
    265.20x = 59,332.11
  5. Step 5: Solve for x
    x = 59,332.11/265.20
  6. Step 6: Final answer
    x = 223.73

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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.