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Finding the Fourth Proportional to 278.38, 383.97 and 180.17

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Solution

The fourth proportional to 278.38, 383.97 and 180.17 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 383.97 = 180.17 : x
  2. Step 2: Convert to fraction form
    278.38/383.97 = 180.17/x
  3. Step 3: Cross multiply
    278.38x = 383.97 × 180.17
  4. Step 4: Simplify right side
    278.38x = 69,180.07
  5. Step 5: Solve for x
    x = 69,180.07/278.38
  6. Step 6: Final answer
    x = 248.51

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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.