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Finding the Fourth Proportional to 213.57, 319.82 and 164.57

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Solution

The fourth proportional to 213.57, 319.82 and 164.57 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 319.82 = 164.57 : x
  2. Step 2: Convert to fraction form
    213.57/319.82 = 164.57/x
  3. Step 3: Cross multiply
    213.57x = 319.82 × 164.57
  4. Step 4: Simplify right side
    213.57x = 52,630.36
  5. Step 5: Solve for x
    x = 52,630.36/213.57
  6. Step 6: Final answer
    x = 246.43

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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.