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Finding the Fourth Proportional to 278.99, 385.10 and 180.75

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Solution

The fourth proportional to 278.99, 385.10 and 180.75 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.99 : 385.10 = 180.75 : x
  2. Step 2: Convert to fraction form
    278.99/385.10 = 180.75/x
  3. Step 3: Cross multiply
    278.99x = 385.10 × 180.75
  4. Step 4: Simplify right side
    278.99x = 69,606.83
  5. Step 5: Solve for x
    x = 69,606.83/278.99
  6. Step 6: Final answer
    x = 249.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.