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Finding the Fourth Proportional to 213.41, 294.05 and 164.20

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Solution

The fourth proportional to 213.41, 294.05 and 164.20 is: 226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 294.05 = 164.20 : x
  2. Step 2: Convert to fraction form
    213.41/294.05 = 164.20/x
  3. Step 3: Cross multiply
    213.41x = 294.05 × 164.20
  4. Step 4: Simplify right side
    213.41x = 48,283.01
  5. Step 5: Solve for x
    x = 48,283.01/213.41
  6. Step 6: Final answer
    x = 226.25

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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.