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Finding the Fourth Proportional to 271.50, 374.72 and 201.77

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Solution

The fourth proportional to 271.50, 374.72 and 201.77 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 374.72 = 201.77 : x
  2. Step 2: Convert to fraction form
    271.50/374.72 = 201.77/x
  3. Step 3: Cross multiply
    271.50x = 374.72 × 201.77
  4. Step 4: Simplify right side
    271.50x = 75,607.25
  5. Step 5: Solve for x
    x = 75,607.25/271.50
  6. Step 6: Final answer
    x = 278.48

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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.