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Finding the Fourth Proportional to 278.36, 416.84 and 180.70

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Solution

The fourth proportional to 278.36, 416.84 and 180.70 is: 270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 416.84 = 180.70 : x
  2. Step 2: Convert to fraction form
    278.36/416.84 = 180.70/x
  3. Step 3: Cross multiply
    278.36x = 416.84 × 180.70
  4. Step 4: Simplify right side
    278.36x = 75,322.99
  5. Step 5: Solve for x
    x = 75,322.99/278.36
  6. Step 6: Final answer
    x = 270.60

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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.