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Finding the Fourth Proportional to 251.50, 346.97 and 158.21

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Solution

The fourth proportional to 251.50, 346.97 and 158.21 is: 218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.50 : 346.97 = 158.21 : x
  2. Step 2: Convert to fraction form
    251.50/346.97 = 158.21/x
  3. Step 3: Cross multiply
    251.50x = 346.97 × 158.21
  4. Step 4: Simplify right side
    251.50x = 54,894.09
  5. Step 5: Solve for x
    x = 54,894.09/251.50
  6. Step 6: Final answer
    x = 218.27

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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.