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Finding the Fourth Proportional to 271.77, 407.39 and 143.25

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Solution

The fourth proportional to 271.77, 407.39 and 143.25 is: 214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.77 : 407.39 = 143.25 : x
  2. Step 2: Convert to fraction form
    271.77/407.39 = 143.25/x
  3. Step 3: Cross multiply
    271.77x = 407.39 × 143.25
  4. Step 4: Simplify right side
    271.77x = 58,357.90
  5. Step 5: Solve for x
    x = 58,357.90/271.77
  6. Step 6: Final answer
    x = 214.73

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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.