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Finding the Fourth Proportional to 278.29, 384.41 and 213.59

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Solution

The fourth proportional to 278.29, 384.41 and 213.59 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 384.41 = 213.59 : x
  2. Step 2: Convert to fraction form
    278.29/384.41 = 213.59/x
  3. Step 3: Cross multiply
    278.29x = 384.41 × 213.59
  4. Step 4: Simplify right side
    278.29x = 82,106.02
  5. Step 5: Solve for x
    x = 82,106.02/278.29
  6. Step 6: Final answer
    x = 295.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.