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Finding the Fourth Proportional to 278.40, 384.14 and 167.86

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Solution

The fourth proportional to 278.40, 384.14 and 167.86 is: 231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 384.14 = 167.86 : x
  2. Step 2: Convert to fraction form
    278.40/384.14 = 167.86/x
  3. Step 3: Cross multiply
    278.40x = 384.14 × 167.86
  4. Step 4: Simplify right side
    278.40x = 64,481.74
  5. Step 5: Solve for x
    x = 64,481.74/278.40
  6. Step 6: Final answer
    x = 231.62

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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.