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Finding the Fourth Proportional to 213.49, 294.75 and 164.29

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Solution

The fourth proportional to 213.49, 294.75 and 164.29 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.49 : 294.75 = 164.29 : x
  2. Step 2: Convert to fraction form
    213.49/294.75 = 164.29/x
  3. Step 3: Cross multiply
    213.49x = 294.75 × 164.29
  4. Step 4: Simplify right side
    213.49x = 48,423.00
  5. Step 5: Solve for x
    x = 48,423.00/213.49
  6. Step 6: Final answer
    x = 226.82

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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.