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Finding the Fourth Proportional to 249.09, 343.40 and 212.16

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Solution

The fourth proportional to 249.09, 343.40 and 212.16 is: 292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.09 : 343.40 = 212.16 : x
  2. Step 2: Convert to fraction form
    249.09/343.40 = 212.16/x
  3. Step 3: Cross multiply
    249.09x = 343.40 × 212.16
  4. Step 4: Simplify right side
    249.09x = 72,855.74
  5. Step 5: Solve for x
    x = 72,855.74/249.09
  6. Step 6: Final answer
    x = 292.49

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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.