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Finding the Fourth Proportional to 279.45, 384.75 and 234.90

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Solution

The fourth proportional to 279.45, 384.75 and 234.90 is: 323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 384.75 = 234.90 : x
  2. Step 2: Convert to fraction form
    279.45/384.75 = 234.90/x
  3. Step 3: Cross multiply
    279.45x = 384.75 × 234.90
  4. Step 4: Simplify right side
    279.45x = 90,377.78
  5. Step 5: Solve for x
    x = 90,377.78/279.45
  6. Step 6: Final answer
    x = 323.41

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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.