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Finding the Fourth Proportional to 259.23, 358.22 and 196.97

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Solution

The fourth proportional to 259.23, 358.22 and 196.97 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 358.22 = 196.97 : x
  2. Step 2: Convert to fraction form
    259.23/358.22 = 196.97/x
  3. Step 3: Cross multiply
    259.23x = 358.22 × 196.97
  4. Step 4: Simplify right side
    259.23x = 70,557.29
  5. Step 5: Solve for x
    x = 70,557.29/259.23
  6. Step 6: Final answer
    x = 272.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.