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Finding the Fourth Proportional to 279.38, 385.29 and 181.04

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Solution

The fourth proportional to 279.38, 385.29 and 181.04 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 385.29 = 181.04 : x
  2. Step 2: Convert to fraction form
    279.38/385.29 = 181.04/x
  3. Step 3: Cross multiply
    279.38x = 385.29 × 181.04
  4. Step 4: Simplify right side
    279.38x = 69,752.90
  5. Step 5: Solve for x
    x = 69,752.90/279.38
  6. Step 6: Final answer
    x = 249.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.