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Finding the Fourth Proportional to 257.98, 386.96 and 95.62

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Solution

The fourth proportional to 257.98, 386.96 and 95.62 is: 143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 386.96 = 95.62 : x
  2. Step 2: Convert to fraction form
    257.98/386.96 = 95.62/x
  3. Step 3: Cross multiply
    257.98x = 386.96 × 95.62
  4. Step 4: Simplify right side
    257.98x = 37,001.12
  5. Step 5: Solve for x
    x = 37,001.12/257.98
  6. Step 6: Final answer
    x = 143.43

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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.