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Finding the Fourth Proportional to 278.46, 417.33 and 168.66

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Solution

The fourth proportional to 278.46, 417.33 and 168.66 is: 252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 417.33 = 168.66 : x
  2. Step 2: Convert to fraction form
    278.46/417.33 = 168.66/x
  3. Step 3: Cross multiply
    278.46x = 417.33 × 168.66
  4. Step 4: Simplify right side
    278.46x = 70,386.88
  5. Step 5: Solve for x
    x = 70,386.88/278.46
  6. Step 6: Final answer
    x = 252.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.