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Finding the Fourth Proportional to 249.12, 343.49 and 209.93

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Solution

The fourth proportional to 249.12, 343.49 and 209.93 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.12 : 343.49 = 209.93 : x
  2. Step 2: Convert to fraction form
    249.12/343.49 = 209.93/x
  3. Step 3: Cross multiply
    249.12x = 343.49 × 209.93
  4. Step 4: Simplify right side
    249.12x = 72,106.09
  5. Step 5: Solve for x
    x = 72,106.09/249.12
  6. Step 6: Final answer
    x = 289.44

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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.