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Finding the Fourth Proportional to 265.49, 398.43 and 197.03

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Solution

The fourth proportional to 265.49, 398.43 and 197.03 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.49 : 398.43 = 197.03 : x
  2. Step 2: Convert to fraction form
    265.49/398.43 = 197.03/x
  3. Step 3: Cross multiply
    265.49x = 398.43 × 197.03
  4. Step 4: Simplify right side
    265.49x = 78,502.66
  5. Step 5: Solve for x
    x = 78,502.66/265.49
  6. Step 6: Final answer
    x = 295.69

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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.