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Finding the Fourth Proportional to 265.26, 397.64 and 149.74

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Solution

The fourth proportional to 265.26, 397.64 and 149.74 is: 224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.26 : 397.64 = 149.74 : x
  2. Step 2: Convert to fraction form
    265.26/397.64 = 149.74/x
  3. Step 3: Cross multiply
    265.26x = 397.64 × 149.74
  4. Step 4: Simplify right side
    265.26x = 59,542.61
  5. Step 5: Solve for x
    x = 59,542.61/265.26
  6. Step 6: Final answer
    x = 224.47

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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.