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Finding the Fourth Proportional to 249.57, 374.00 and 198

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Solution

The fourth proportional to 249.57, 374.00 and 198 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.57 : 374.00 = 198 : x
  2. Step 2: Convert to fraction form
    249.57/374.00 = 198/x
  3. Step 3: Cross multiply
    249.57x = 374.00 × 198
  4. Step 4: Simplify right side
    249.57x = 74,051.01
  5. Step 5: Solve for x
    x = 74,051.01/249.57
  6. Step 6: Final answer
    x = 296.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.