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Finding the Fourth Proportional to 213.12, 319.04 and 164.80

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Solution

The fourth proportional to 213.12, 319.04 and 164.80 is: 246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 319.04 = 164.80 : x
  2. Step 2: Convert to fraction form
    213.12/319.04 = 164.80/x
  3. Step 3: Cross multiply
    213.12x = 319.04 × 164.80
  4. Step 4: Simplify right side
    213.12x = 52,577.79
  5. Step 5: Solve for x
    x = 52,577.79/213.12
  6. Step 6: Final answer
    x = 246.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.