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Finding the Fourth Proportional to 249.15, 343.64 and 216.27

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Solution

The fourth proportional to 249.15, 343.64 and 216.27 is: 298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.15 : 343.64 = 216.27 : x
  2. Step 2: Convert to fraction form
    249.15/343.64 = 216.27/x
  3. Step 3: Cross multiply
    249.15x = 343.64 × 216.27
  4. Step 4: Simplify right side
    249.15x = 74,317.94
  5. Step 5: Solve for x
    x = 74,317.94/249.15
  6. Step 6: Final answer
    x = 298.29

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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.