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Finding the Fourth Proportional to 249.59, 374.51 and 181.67

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Solution

The fourth proportional to 249.59, 374.51 and 181.67 is: 272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.59 : 374.51 = 181.67 : x
  2. Step 2: Convert to fraction form
    249.59/374.51 = 181.67/x
  3. Step 3: Cross multiply
    249.59x = 374.51 × 181.67
  4. Step 4: Simplify right side
    249.59x = 68,034.45
  5. Step 5: Solve for x
    x = 68,034.45/249.59
  6. Step 6: Final answer
    x = 272.59

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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.