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Finding the Fourth Proportional to 278.96, 384.99 and 201.38

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Solution

The fourth proportional to 278.96, 384.99 and 201.38 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 384.99 = 201.38 : x
  2. Step 2: Convert to fraction form
    278.96/384.99 = 201.38/x
  3. Step 3: Cross multiply
    278.96x = 384.99 × 201.38
  4. Step 4: Simplify right side
    278.96x = 77,529.29
  5. Step 5: Solve for x
    x = 77,529.29/278.96
  6. Step 6: Final answer
    x = 277.92

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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.