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Finding the Fourth Proportional to 271.58, 374.64 and 197.87

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Solution

The fourth proportional to 271.58, 374.64 and 197.87 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.58 : 374.64 = 197.87 : x
  2. Step 2: Convert to fraction form
    271.58/374.64 = 197.87/x
  3. Step 3: Cross multiply
    271.58x = 374.64 × 197.87
  4. Step 4: Simplify right side
    271.58x = 74,128.14
  5. Step 5: Solve for x
    x = 74,128.14/271.58
  6. Step 6: Final answer
    x = 272.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.