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Finding the Fourth Proportional to 278.75, 418.14 and 105.40

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Solution

The fourth proportional to 278.75, 418.14 and 105.40 is: 158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 418.14 = 105.40 : x
  2. Step 2: Convert to fraction form
    278.75/418.14 = 105.40/x
  3. Step 3: Cross multiply
    278.75x = 418.14 × 105.40
  4. Step 4: Simplify right side
    278.75x = 44,071.43
  5. Step 5: Solve for x
    x = 44,071.43/278.75
  6. Step 6: Final answer
    x = 158.10

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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.