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Finding the Fourth Proportional to 213.71, 294.61 and 166.99

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Solution

The fourth proportional to 213.71, 294.61 and 166.99 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 294.61 = 166.99 : x
  2. Step 2: Convert to fraction form
    213.71/294.61 = 166.99/x
  3. Step 3: Cross multiply
    213.71x = 294.61 × 166.99
  4. Step 4: Simplify right side
    213.71x = 49,196.92
  5. Step 5: Solve for x
    x = 49,196.92/213.71
  6. Step 6: Final answer
    x = 230.20

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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.