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Finding the Fourth Proportional to 279.19, 384.94 and 226.54

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Solution

The fourth proportional to 279.19, 384.94 and 226.54 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 384.94 = 226.54 : x
  2. Step 2: Convert to fraction form
    279.19/384.94 = 226.54/x
  3. Step 3: Cross multiply
    279.19x = 384.94 × 226.54
  4. Step 4: Simplify right side
    279.19x = 87,203.17
  5. Step 5: Solve for x
    x = 87,203.17/279.19
  6. Step 6: Final answer
    x = 312.34

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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.