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Finding the Fourth Proportional to 278.83, 384.59 and 226.38

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Solution

The fourth proportional to 278.83, 384.59 and 226.38 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.83 : 384.59 = 226.38 : x
  2. Step 2: Convert to fraction form
    278.83/384.59 = 226.38/x
  3. Step 3: Cross multiply
    278.83x = 384.59 × 226.38
  4. Step 4: Simplify right side
    278.83x = 87,061.56
  5. Step 5: Solve for x
    x = 87,061.56/278.83
  6. Step 6: Final answer
    x = 312.24

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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.