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Finding the Fourth Proportional to 278.02, 416.74 and 180.50

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Solution

The fourth proportional to 278.02, 416.74 and 180.50 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 416.74 = 180.50 : x
  2. Step 2: Convert to fraction form
    278.02/416.74 = 180.50/x
  3. Step 3: Cross multiply
    278.02x = 416.74 × 180.50
  4. Step 4: Simplify right side
    278.02x = 75,221.57
  5. Step 5: Solve for x
    x = 75,221.57/278.02
  6. Step 6: Final answer
    x = 270.56

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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.