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Finding the Fourth Proportional to 278.96, 384.86 and 174.12

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Solution

The fourth proportional to 278.96, 384.86 and 174.12 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 384.86 = 174.12 : x
  2. Step 2: Convert to fraction form
    278.96/384.86 = 174.12/x
  3. Step 3: Cross multiply
    278.96x = 384.86 × 174.12
  4. Step 4: Simplify right side
    278.96x = 67,011.82
  5. Step 5: Solve for x
    x = 67,011.82/278.96
  6. Step 6: Final answer
    x = 240.22

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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.