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Finding the Fourth Proportional to 278.15, 383.84 and 179.90

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Solution

The fourth proportional to 278.15, 383.84 and 179.90 is: 248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 383.84 = 179.90 : x
  2. Step 2: Convert to fraction form
    278.15/383.84 = 179.90/x
  3. Step 3: Cross multiply
    278.15x = 383.84 × 179.90
  4. Step 4: Simplify right side
    278.15x = 69,052.82
  5. Step 5: Solve for x
    x = 69,052.82/278.15
  6. Step 6: Final answer
    x = 248.26

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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.