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Finding the Fourth Proportional to 278.30, 417.12 and 200.85

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Solution

The fourth proportional to 278.30, 417.12 and 200.85 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.30 : 417.12 = 200.85 : x
  2. Step 2: Convert to fraction form
    278.30/417.12 = 200.85/x
  3. Step 3: Cross multiply
    278.30x = 417.12 × 200.85
  4. Step 4: Simplify right side
    278.30x = 83,776.23
  5. Step 5: Solve for x
    x = 83,776.23/278.30
  6. Step 6: Final answer
    x = 301.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.