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Finding the Fourth Proportional to 278.62, 384.52 and 162.20

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Solution

The fourth proportional to 278.62, 384.52 and 162.20 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 384.52 = 162.20 : x
  2. Step 2: Convert to fraction form
    278.62/384.52 = 162.20/x
  3. Step 3: Cross multiply
    278.62x = 384.52 × 162.20
  4. Step 4: Simplify right side
    278.62x = 62,369.14
  5. Step 5: Solve for x
    x = 62,369.14/278.62
  6. Step 6: Final answer
    x = 223.85

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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.