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Finding the Fourth Proportional to 278.96, 384.90 and 173.96

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Solution

The fourth proportional to 278.96, 384.90 and 173.96 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 384.90 = 173.96 : x
  2. Step 2: Convert to fraction form
    278.96/384.90 = 173.96/x
  3. Step 3: Cross multiply
    278.96x = 384.90 × 173.96
  4. Step 4: Simplify right side
    278.96x = 66,957.20
  5. Step 5: Solve for x
    x = 66,957.20/278.96
  6. Step 6: Final answer
    x = 240.02

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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.