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Finding the Fourth Proportional to 278.38, 383.92 and 180.04

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Solution

The fourth proportional to 278.38, 383.92 and 180.04 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 383.92 = 180.04 : x
  2. Step 2: Convert to fraction form
    278.38/383.92 = 180.04/x
  3. Step 3: Cross multiply
    278.38x = 383.92 × 180.04
  4. Step 4: Simplify right side
    278.38x = 69,118.14
  5. Step 5: Solve for x
    x = 69,118.14/278.38
  6. Step 6: Final answer
    x = 248.29

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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.