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Finding the Fourth Proportional to 278.01, 382.86 and 277.19

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Solution

The fourth proportional to 278.01, 382.86 and 277.19 is: 381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 382.86 = 277.19 : x
  2. Step 2: Convert to fraction form
    278.01/382.86 = 277.19/x
  3. Step 3: Cross multiply
    278.01x = 382.86 × 277.19
  4. Step 4: Simplify right side
    278.01x = 106,123.05
  5. Step 5: Solve for x
    x = 106,123.05/278.01
  6. Step 6: Final answer
    x = 381.72

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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.