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Finding the Fourth Proportional to 271.33, 374.60 and 178.24

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Solution

The fourth proportional to 271.33, 374.60 and 178.24 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.33 : 374.60 = 178.24 : x
  2. Step 2: Convert to fraction form
    271.33/374.60 = 178.24/x
  3. Step 3: Cross multiply
    271.33x = 374.60 × 178.24
  4. Step 4: Simplify right side
    271.33x = 66,767.91
  5. Step 5: Solve for x
    x = 66,767.91/271.33
  6. Step 6: Final answer
    x = 246.08

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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.