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Finding the Fourth Proportional to 278.34, 384.14 and 167.84

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Solution

The fourth proportional to 278.34, 384.14 and 167.84 is: 231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 384.14 = 167.84 : x
  2. Step 2: Convert to fraction form
    278.34/384.14 = 167.84/x
  3. Step 3: Cross multiply
    278.34x = 384.14 × 167.84
  4. Step 4: Simplify right side
    278.34x = 64,474.06
  5. Step 5: Solve for x
    x = 64,474.06/278.34
  6. Step 6: Final answer
    x = 231.64

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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.