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Finding the Fourth Proportional to 259.38, 357.96 and 142.96

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Solution

The fourth proportional to 259.38, 357.96 and 142.96 is: 197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.38 : 357.96 = 142.96 : x
  2. Step 2: Convert to fraction form
    259.38/357.96 = 142.96/x
  3. Step 3: Cross multiply
    259.38x = 357.96 × 142.96
  4. Step 4: Simplify right side
    259.38x = 51,173.96
  5. Step 5: Solve for x
    x = 51,173.96/259.38
  6. Step 6: Final answer
    x = 197.29

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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.