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Finding the Fourth Proportional to 278.56, 384.42 and 168.04

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Solution

The fourth proportional to 278.56, 384.42 and 168.04 is: 231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 384.42 = 168.04 : x
  2. Step 2: Convert to fraction form
    278.56/384.42 = 168.04/x
  3. Step 3: Cross multiply
    278.56x = 384.42 × 168.04
  4. Step 4: Simplify right side
    278.56x = 64,597.94
  5. Step 5: Solve for x
    x = 64,597.94/278.56
  6. Step 6: Final answer
    x = 231.90

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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.