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Finding the Fourth Proportional to 271.85, 407.91 and 206.84

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Solution

The fourth proportional to 271.85, 407.91 and 206.84 is: 310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.85 : 407.91 = 206.84 : x
  2. Step 2: Convert to fraction form
    271.85/407.91 = 206.84/x
  3. Step 3: Cross multiply
    271.85x = 407.91 × 206.84
  4. Step 4: Simplify right side
    271.85x = 84,370.06
  5. Step 5: Solve for x
    x = 84,370.06/271.85
  6. Step 6: Final answer
    x = 310.36

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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.