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Finding the Fourth Proportional to 206.34, 284.76 and 166.92

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Solution

The fourth proportional to 206.34, 284.76 and 166.92 is: 230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 284.76 = 166.92 : x
  2. Step 2: Convert to fraction form
    206.34/284.76 = 166.92/x
  3. Step 3: Cross multiply
    206.34x = 284.76 × 166.92
  4. Step 4: Simplify right side
    206.34x = 47,532.14
  5. Step 5: Solve for x
    x = 47,532.14/206.34
  6. Step 6: Final answer
    x = 230.36

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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.