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Finding the Fourth Proportional to 249.82, 374.49 and 177.50

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Solution

The fourth proportional to 249.82, 374.49 and 177.50 is: 266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.82 : 374.49 = 177.50 : x
  2. Step 2: Convert to fraction form
    249.82/374.49 = 177.50/x
  3. Step 3: Cross multiply
    249.82x = 374.49 × 177.50
  4. Step 4: Simplify right side
    249.82x = 66,471.98
  5. Step 5: Solve for x
    x = 66,471.98/249.82
  6. Step 6: Final answer
    x = 266.08

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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.