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Finding the Fourth Proportional to 251.79, 347.02 and 216.73

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Solution

The fourth proportional to 251.79, 347.02 and 216.73 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.79 : 347.02 = 216.73 : x
  2. Step 2: Convert to fraction form
    251.79/347.02 = 216.73/x
  3. Step 3: Cross multiply
    251.79x = 347.02 × 216.73
  4. Step 4: Simplify right side
    251.79x = 75,209.64
  5. Step 5: Solve for x
    x = 75,209.64/251.79
  6. Step 6: Final answer
    x = 298.70

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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.