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Finding the Fourth Proportional to 278.81, 384.78 and 159.20

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Solution

The fourth proportional to 278.81, 384.78 and 159.20 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 384.78 = 159.20 : x
  2. Step 2: Convert to fraction form
    278.81/384.78 = 159.20/x
  3. Step 3: Cross multiply
    278.81x = 384.78 × 159.20
  4. Step 4: Simplify right side
    278.81x = 61,256.98
  5. Step 5: Solve for x
    x = 61,256.98/278.81
  6. Step 6: Final answer
    x = 219.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.