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Finding the Fourth Proportional to 259.10, 357.32 and 197.14

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Solution

The fourth proportional to 259.10, 357.32 and 197.14 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 357.32 = 197.14 : x
  2. Step 2: Convert to fraction form
    259.10/357.32 = 197.14/x
  3. Step 3: Cross multiply
    259.10x = 357.32 × 197.14
  4. Step 4: Simplify right side
    259.10x = 70,439.29
  5. Step 5: Solve for x
    x = 70,439.29/259.10
  6. Step 6: Final answer
    x = 271.86

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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.