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Finding the Fourth Proportional to 251.30, 346.77 and 157.97

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Solution

The fourth proportional to 251.30, 346.77 and 157.97 is: 217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 346.77 = 157.97 : x
  2. Step 2: Convert to fraction form
    251.30/346.77 = 157.97/x
  3. Step 3: Cross multiply
    251.30x = 346.77 × 157.97
  4. Step 4: Simplify right side
    251.30x = 54,780.12
  5. Step 5: Solve for x
    x = 54,780.12/251.30
  6. Step 6: Final answer
    x = 217.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.