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Finding the Fourth Proportional to 259.97, 389.77 and 97.65

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Solution

The fourth proportional to 259.97, 389.77 and 97.65 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 389.77 = 97.65 : x
  2. Step 2: Convert to fraction form
    259.97/389.77 = 97.65/x
  3. Step 3: Cross multiply
    259.97x = 389.77 × 97.65
  4. Step 4: Simplify right side
    259.97x = 38,060.80
  5. Step 5: Solve for x
    x = 38,060.80/259.97
  6. Step 6: Final answer
    x = 146.41

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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.