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Finding the Fourth Proportional to 206.07, 306.45 and 199.58

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Solution

The fourth proportional to 206.07, 306.45 and 199.58 is: 296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.07 : 306.45 = 199.58 : x
  2. Step 2: Convert to fraction form
    206.07/306.45 = 199.58/x
  3. Step 3: Cross multiply
    206.07x = 306.45 × 199.58
  4. Step 4: Simplify right side
    206.07x = 61,160.91
  5. Step 5: Solve for x
    x = 61,160.91/206.07
  6. Step 6: Final answer
    x = 296.80

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