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Finding the Fourth Proportional to 257.16, 354.90 and 158.97

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Solution

The fourth proportional to 257.16, 354.90 and 158.97 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 354.90 = 158.97 : x
  2. Step 2: Convert to fraction form
    257.16/354.90 = 158.97/x
  3. Step 3: Cross multiply
    257.16x = 354.90 × 158.97
  4. Step 4: Simplify right side
    257.16x = 56,418.45
  5. Step 5: Solve for x
    x = 56,418.45/257.16
  6. Step 6: Final answer
    x = 219.39

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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.