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Finding the Fourth Proportional to 251.75, 347.26 and 158.42

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Solution

The fourth proportional to 251.75, 347.26 and 158.42 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.75 : 347.26 = 158.42 : x
  2. Step 2: Convert to fraction form
    251.75/347.26 = 158.42/x
  3. Step 3: Cross multiply
    251.75x = 347.26 × 158.42
  4. Step 4: Simplify right side
    251.75x = 55,013.17
  5. Step 5: Solve for x
    x = 55,013.17/251.75
  6. Step 6: Final answer
    x = 218.52

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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.