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Finding the Fourth Proportional to 278.22, 383.84 and 160.17

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Solution

The fourth proportional to 278.22, 383.84 and 160.17 is: 220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 383.84 = 160.17 : x
  2. Step 2: Convert to fraction form
    278.22/383.84 = 160.17/x
  3. Step 3: Cross multiply
    278.22x = 383.84 × 160.17
  4. Step 4: Simplify right side
    278.22x = 61,478.85
  5. Step 5: Solve for x
    x = 61,478.85/278.22
  6. Step 6: Final answer
    x = 220.97

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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.