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Finding the Fourth Proportional to 278.54, 416.72 and 181.88

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Solution

The fourth proportional to 278.54, 416.72 and 181.88 is: 272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 416.72 = 181.88 : x
  2. Step 2: Convert to fraction form
    278.54/416.72 = 181.88/x
  3. Step 3: Cross multiply
    278.54x = 416.72 × 181.88
  4. Step 4: Simplify right side
    278.54x = 75,790.04
  5. Step 5: Solve for x
    x = 75,790.04/278.54
  6. Step 6: Final answer
    x = 272.10

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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.