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Finding the Fourth Proportional to 278.37, 383.89 and 179.96

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Solution

The fourth proportional to 278.37, 383.89 and 179.96 is: 248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 383.89 = 179.96 : x
  2. Step 2: Convert to fraction form
    278.37/383.89 = 179.96/x
  3. Step 3: Cross multiply
    278.37x = 383.89 × 179.96
  4. Step 4: Simplify right side
    278.37x = 69,082.81
  5. Step 5: Solve for x
    x = 69,082.81/278.37
  6. Step 6: Final answer
    x = 248.17

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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.