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Finding the Fourth Proportional to 249.83, 344.45 and 184.22

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Solution

The fourth proportional to 249.83, 344.45 and 184.22 is: 253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.83 : 344.45 = 184.22 : x
  2. Step 2: Convert to fraction form
    249.83/344.45 = 184.22/x
  3. Step 3: Cross multiply
    249.83x = 344.45 × 184.22
  4. Step 4: Simplify right side
    249.83x = 63,456.55
  5. Step 5: Solve for x
    x = 63,456.55/249.83
  6. Step 6: Final answer
    x = 253.99

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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.