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Finding the Fourth Proportional to 249.46, 373.58 and 181.42

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Solution

The fourth proportional to 249.46, 373.58 and 181.42 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.46 : 373.58 = 181.42 : x
  2. Step 2: Convert to fraction form
    249.46/373.58 = 181.42/x
  3. Step 3: Cross multiply
    249.46x = 373.58 × 181.42
  4. Step 4: Simplify right side
    249.46x = 67,774.88
  5. Step 5: Solve for x
    x = 67,774.88/249.46
  6. Step 6: Final answer
    x = 271.69

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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.