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Finding the Fourth Proportional to 259.43, 389.20 and 97.11

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Solution

The fourth proportional to 259.43, 389.20 and 97.11 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.43 : 389.20 = 97.11 : x
  2. Step 2: Convert to fraction form
    259.43/389.20 = 97.11/x
  3. Step 3: Cross multiply
    259.43x = 389.20 × 97.11
  4. Step 4: Simplify right side
    259.43x = 37,794.73
  5. Step 5: Solve for x
    x = 37,794.73/259.43
  6. Step 6: Final answer
    x = 145.68

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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.