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Finding the Fourth Proportional to 271.39, 407.18 and 127

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Solution

The fourth proportional to 271.39, 407.18 and 127 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.39 : 407.18 = 127 : x
  2. Step 2: Convert to fraction form
    271.39/407.18 = 127/x
  3. Step 3: Cross multiply
    271.39x = 407.18 × 127
  4. Step 4: Simplify right side
    271.39x = 51,711.86
  5. Step 5: Solve for x
    x = 51,711.86/271.39
  6. Step 6: Final answer
    x = 190.54

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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.