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Finding the Fourth Proportional to 278.70, 418.06 and 169.06

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Solution

The fourth proportional to 278.70, 418.06 and 169.06 is: 253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 418.06 = 169.06 : x
  2. Step 2: Convert to fraction form
    278.70/418.06 = 169.06/x
  3. Step 3: Cross multiply
    278.70x = 418.06 × 169.06
  4. Step 4: Simplify right side
    278.70x = 70,677.22
  5. Step 5: Solve for x
    x = 70,677.22/278.70
  6. Step 6: Final answer
    x = 253.60

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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.