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Finding the Fourth Proportional to 278.34, 384.06 and 161.88

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Solution

The fourth proportional to 278.34, 384.06 and 161.88 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 384.06 = 161.88 : x
  2. Step 2: Convert to fraction form
    278.34/384.06 = 161.88/x
  3. Step 3: Cross multiply
    278.34x = 384.06 × 161.88
  4. Step 4: Simplify right side
    278.34x = 62,171.63
  5. Step 5: Solve for x
    x = 62,171.63/278.34
  6. Step 6: Final answer
    x = 223.37

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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.