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Finding the Fourth Proportional to 271.21, 374.10 and 177.99

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Solution

The fourth proportional to 271.21, 374.10 and 177.99 is: 245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.21 : 374.10 = 177.99 : x
  2. Step 2: Convert to fraction form
    271.21/374.10 = 177.99/x
  3. Step 3: Cross multiply
    271.21x = 374.10 × 177.99
  4. Step 4: Simplify right side
    271.21x = 66,586.06
  5. Step 5: Solve for x
    x = 66,586.06/271.21
  6. Step 6: Final answer
    x = 245.51

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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.