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Finding the Fourth Proportional to 278.97, 384.99 and 160.98

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Solution

The fourth proportional to 278.97, 384.99 and 160.98 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 384.99 = 160.98 : x
  2. Step 2: Convert to fraction form
    278.97/384.99 = 160.98/x
  3. Step 3: Cross multiply
    278.97x = 384.99 × 160.98
  4. Step 4: Simplify right side
    278.97x = 61,975.69
  5. Step 5: Solve for x
    x = 61,975.69/278.97
  6. Step 6: Final answer
    x = 222.16

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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.