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Finding the Fourth Proportional to 278.96, 384.91 and 160.94

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Solution

The fourth proportional to 278.96, 384.91 and 160.94 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 384.91 = 160.94 : x
  2. Step 2: Convert to fraction form
    278.96/384.91 = 160.94/x
  3. Step 3: Cross multiply
    278.96x = 384.91 × 160.94
  4. Step 4: Simplify right side
    278.96x = 61,947.98
  5. Step 5: Solve for x
    x = 61,947.98/278.96
  6. Step 6: Final answer
    x = 222.07

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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.