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Finding the Fourth Proportional to 251.28, 345.92 and 216.77

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Solution

The fourth proportional to 251.28, 345.92 and 216.77 is: 298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 345.92 = 216.77 : x
  2. Step 2: Convert to fraction form
    251.28/345.92 = 216.77/x
  3. Step 3: Cross multiply
    251.28x = 345.92 × 216.77
  4. Step 4: Simplify right side
    251.28x = 74,982.26
  5. Step 5: Solve for x
    x = 74,982.26/251.28
  6. Step 6: Final answer
    x = 298.40

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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.