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Finding the Fourth Proportional to 213.05, 293.83 and 166.35

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Solution

The fourth proportional to 213.05, 293.83 and 166.35 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 293.83 = 166.35 : x
  2. Step 2: Convert to fraction form
    213.05/293.83 = 166.35/x
  3. Step 3: Cross multiply
    213.05x = 293.83 × 166.35
  4. Step 4: Simplify right side
    213.05x = 48,877.79
  5. Step 5: Solve for x
    x = 48,877.79/213.05
  6. Step 6: Final answer
    x = 229.42

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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.