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Finding the Fourth Proportional to 278.47, 384.12 and 212.86

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Solution

The fourth proportional to 278.47, 384.12 and 212.86 is: 293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 384.12 = 212.86 : x
  2. Step 2: Convert to fraction form
    278.47/384.12 = 212.86/x
  3. Step 3: Cross multiply
    278.47x = 384.12 × 212.86
  4. Step 4: Simplify right side
    278.47x = 81,763.78
  5. Step 5: Solve for x
    x = 81,763.78/278.47
  6. Step 6: Final answer
    x = 293.62

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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.