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Finding the Fourth Proportional to 266.55, 400.09 and 206.34

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Solution

The fourth proportional to 266.55, 400.09 and 206.34 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.55 : 400.09 = 206.34 : x
  2. Step 2: Convert to fraction form
    266.55/400.09 = 206.34/x
  3. Step 3: Cross multiply
    266.55x = 400.09 × 206.34
  4. Step 4: Simplify right side
    266.55x = 82,554.57
  5. Step 5: Solve for x
    x = 82,554.57/266.55
  6. Step 6: Final answer
    x = 309.72

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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.