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Finding the Fourth Proportional to 259.48, 357.82 and 197.31

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Solution

The fourth proportional to 259.48, 357.82 and 197.31 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 357.82 = 197.31 : x
  2. Step 2: Convert to fraction form
    259.48/357.82 = 197.31/x
  3. Step 3: Cross multiply
    259.48x = 357.82 × 197.31
  4. Step 4: Simplify right side
    259.48x = 70,601.46
  5. Step 5: Solve for x
    x = 70,601.46/259.48
  6. Step 6: Final answer
    x = 272.09

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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.