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Finding the Fourth Proportional to 278.44, 384.30 and 200.08

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Solution

The fourth proportional to 278.44, 384.30 and 200.08 is: 276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 384.30 = 200.08 : x
  2. Step 2: Convert to fraction form
    278.44/384.30 = 200.08/x
  3. Step 3: Cross multiply
    278.44x = 384.30 × 200.08
  4. Step 4: Simplify right side
    278.44x = 76,890.74
  5. Step 5: Solve for x
    x = 76,890.74/278.44
  6. Step 6: Final answer
    x = 276.15

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