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Finding the Fourth Proportional to 278.12, 383.96 and 167.63

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Solution

The fourth proportional to 278.12, 383.96 and 167.63 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 383.96 = 167.63 : x
  2. Step 2: Convert to fraction form
    278.12/383.96 = 167.63/x
  3. Step 3: Cross multiply
    278.12x = 383.96 × 167.63
  4. Step 4: Simplify right side
    278.12x = 64,361.71
  5. Step 5: Solve for x
    x = 64,361.71/278.12
  6. Step 6: Final answer
    x = 231.41

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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.