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Finding the Fourth Proportional to 278.67, 384.45 and 213.06

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Solution

The fourth proportional to 278.67, 384.45 and 213.06 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 384.45 = 213.06 : x
  2. Step 2: Convert to fraction form
    278.67/384.45 = 213.06/x
  3. Step 3: Cross multiply
    278.67x = 384.45 × 213.06
  4. Step 4: Simplify right side
    278.67x = 81,911.56
  5. Step 5: Solve for x
    x = 81,911.56/278.67
  6. Step 6: Final answer
    x = 293.93

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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.