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Finding the Fourth Proportional to 205.14, 306.58 and 166.21

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Solution

The fourth proportional to 205.14, 306.58 and 166.21 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 306.58 = 166.21 : x
  2. Step 2: Convert to fraction form
    205.14/306.58 = 166.21/x
  3. Step 3: Cross multiply
    205.14x = 306.58 × 166.21
  4. Step 4: Simplify right side
    205.14x = 50,956.66
  5. Step 5: Solve for x
    x = 50,956.66/205.14
  6. Step 6: Final answer
    x = 248.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.