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Finding the Fourth Proportional to 271.86, 407.30 and 169.09

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Solution

The fourth proportional to 271.86, 407.30 and 169.09 is: 253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.86 : 407.30 = 169.09 : x
  2. Step 2: Convert to fraction form
    271.86/407.30 = 169.09/x
  3. Step 3: Cross multiply
    271.86x = 407.30 × 169.09
  4. Step 4: Simplify right side
    271.86x = 68,868.49
  5. Step 5: Solve for x
    x = 68,868.49/271.86
  6. Step 6: Final answer
    x = 253.33

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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.