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Finding the Fourth Proportional to 271.55, 407.18 and 127.27

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Solution

The fourth proportional to 271.55, 407.18 and 127.27 is: 190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 407.18 = 127.27 : x
  2. Step 2: Convert to fraction form
    271.55/407.18 = 127.27/x
  3. Step 3: Cross multiply
    271.55x = 407.18 × 127.27
  4. Step 4: Simplify right side
    271.55x = 51,821.91
  5. Step 5: Solve for x
    x = 51,821.91/271.55
  6. Step 6: Final answer
    x = 190.84

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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.