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Finding the Fourth Proportional to 278.45, 384.24 and 154.08

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Solution

The fourth proportional to 278.45, 384.24 and 154.08 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.45 : 384.24 = 154.08 : x
  2. Step 2: Convert to fraction form
    278.45/384.24 = 154.08/x
  3. Step 3: Cross multiply
    278.45x = 384.24 × 154.08
  4. Step 4: Simplify right side
    278.45x = 59,203.70
  5. Step 5: Solve for x
    x = 59,203.70/278.45
  6. Step 6: Final answer
    x = 212.62

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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.