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Finding the Fourth Proportional to 249.55, 344.26 and 213.10

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Solution

The fourth proportional to 249.55, 344.26 and 213.10 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.55 : 344.26 = 213.10 : x
  2. Step 2: Convert to fraction form
    249.55/344.26 = 213.10/x
  3. Step 3: Cross multiply
    249.55x = 344.26 × 213.10
  4. Step 4: Simplify right side
    249.55x = 73,361.81
  5. Step 5: Solve for x
    x = 73,361.81/249.55
  6. Step 6: Final answer
    x = 293.98

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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.