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Finding the Fourth Proportional to 271.28, 374.55 and 178.19

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Solution

The fourth proportional to 271.28, 374.55 and 178.19 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.28 : 374.55 = 178.19 : x
  2. Step 2: Convert to fraction form
    271.28/374.55 = 178.19/x
  3. Step 3: Cross multiply
    271.28x = 374.55 × 178.19
  4. Step 4: Simplify right side
    271.28x = 66,742.03
  5. Step 5: Solve for x
    x = 66,742.03/271.28
  6. Step 6: Final answer
    x = 246.02

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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.