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Finding the Fourth Proportional to 249.98, 374.52 and 95.82

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Solution

The fourth proportional to 249.98, 374.52 and 95.82 is: 143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.98 : 374.52 = 95.82 : x
  2. Step 2: Convert to fraction form
    249.98/374.52 = 95.82/x
  3. Step 3: Cross multiply
    249.98x = 374.52 × 95.82
  4. Step 4: Simplify right side
    249.98x = 35,886.51
  5. Step 5: Solve for x
    x = 35,886.51/249.98
  6. Step 6: Final answer
    x = 143.56

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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.