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Finding the Fourth Proportional to 278.88, 384.86 and 160.86

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Solution

The fourth proportional to 278.88, 384.86 and 160.86 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 384.86 = 160.86 : x
  2. Step 2: Convert to fraction form
    278.88/384.86 = 160.86/x
  3. Step 3: Cross multiply
    278.88x = 384.86 × 160.86
  4. Step 4: Simplify right side
    278.88x = 61,908.58
  5. Step 5: Solve for x
    x = 61,908.58/278.88
  6. Step 6: Final answer
    x = 221.99

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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.