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Finding the Fourth Proportional to 278.84, 418.22 and 73.39

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Solution

The fourth proportional to 278.84, 418.22 and 73.39 is: 110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 418.22 = 73.39 : x
  2. Step 2: Convert to fraction form
    278.84/418.22 = 73.39/x
  3. Step 3: Cross multiply
    278.84x = 418.22 × 73.39
  4. Step 4: Simplify right side
    278.84x = 30,693.77
  5. Step 5: Solve for x
    x = 30,693.77/278.84
  6. Step 6: Final answer
    x = 110.08

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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.