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Finding the Fourth Proportional to 278.04, 382.62 and 241.02

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Solution

The fourth proportional to 278.04, 382.62 and 241.02 is: 331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 382.62 = 241.02 : x
  2. Step 2: Convert to fraction form
    278.04/382.62 = 241.02/x
  3. Step 3: Cross multiply
    278.04x = 382.62 × 241.02
  4. Step 4: Simplify right side
    278.04x = 92,219.07
  5. Step 5: Solve for x
    x = 92,219.07/278.04
  6. Step 6: Final answer
    x = 331.68

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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.