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Finding the Fourth Proportional to 278.81, 418.19 and 116.50

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Solution

The fourth proportional to 278.81, 418.19 and 116.50 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 418.19 = 116.50 : x
  2. Step 2: Convert to fraction form
    278.81/418.19 = 116.50/x
  3. Step 3: Cross multiply
    278.81x = 418.19 × 116.50
  4. Step 4: Simplify right side
    278.81x = 48,719.14
  5. Step 5: Solve for x
    x = 48,719.14/278.81
  6. Step 6: Final answer
    x = 174.74

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Why These Related Problems?

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