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Finding the Fourth Proportional to 278.65, 418.02 and 116.34

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Solution

The fourth proportional to 278.65, 418.02 and 116.34 is: 174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 418.02 = 116.34 : x
  2. Step 2: Convert to fraction form
    278.65/418.02 = 116.34/x
  3. Step 3: Cross multiply
    278.65x = 418.02 × 116.34
  4. Step 4: Simplify right side
    278.65x = 48,632.45
  5. Step 5: Solve for x
    x = 48,632.45/278.65
  6. Step 6: Final answer
    x = 174.53

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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.