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Finding the Fourth Proportional to 206.46, 310.10 and 200.79

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Solution

The fourth proportional to 206.46, 310.10 and 200.79 is: 301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 310.10 = 200.79 : x
  2. Step 2: Convert to fraction form
    206.46/310.10 = 200.79/x
  3. Step 3: Cross multiply
    206.46x = 310.10 × 200.79
  4. Step 4: Simplify right side
    206.46x = 62,263.98
  5. Step 5: Solve for x
    x = 62,263.98/206.46
  6. Step 6: Final answer
    x = 301.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.