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Finding the Fourth Proportional to 278.54, 384.31 and 189.86

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Solution

The fourth proportional to 278.54, 384.31 and 189.86 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 384.31 = 189.86 : x
  2. Step 2: Convert to fraction form
    278.54/384.31 = 189.86/x
  3. Step 3: Cross multiply
    278.54x = 384.31 × 189.86
  4. Step 4: Simplify right side
    278.54x = 72,965.10
  5. Step 5: Solve for x
    x = 72,965.10/278.54
  6. Step 6: Final answer
    x = 261.96

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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.