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Finding the Fourth Proportional to 213.84, 295.25 and 179.21

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Solution

The fourth proportional to 213.84, 295.25 and 179.21 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 295.25 = 179.21 : x
  2. Step 2: Convert to fraction form
    213.84/295.25 = 179.21/x
  3. Step 3: Cross multiply
    213.84x = 295.25 × 179.21
  4. Step 4: Simplify right side
    213.84x = 52,911.59
  5. Step 5: Solve for x
    x = 52,911.59/213.84
  6. Step 6: Final answer
    x = 247.44

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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.