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Finding the Fourth Proportional to 271.80, 407.42 and 134.69

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Solution

The fourth proportional to 271.80, 407.42 and 134.69 is: 201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 407.42 = 134.69 : x
  2. Step 2: Convert to fraction form
    271.80/407.42 = 134.69/x
  3. Step 3: Cross multiply
    271.80x = 407.42 × 134.69
  4. Step 4: Simplify right side
    271.80x = 54,872.69
  5. Step 5: Solve for x
    x = 54,872.69/271.80
  6. Step 6: Final answer
    x = 201.89

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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.