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Finding the Fourth Proportional to 271.66, 374.96 and 178.24

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Solution

The fourth proportional to 271.66, 374.96 and 178.24 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.66 : 374.96 = 178.24 : x
  2. Step 2: Convert to fraction form
    271.66/374.96 = 178.24/x
  3. Step 3: Cross multiply
    271.66x = 374.96 × 178.24
  4. Step 4: Simplify right side
    271.66x = 66,832.87
  5. Step 5: Solve for x
    x = 66,832.87/271.66
  6. Step 6: Final answer
    x = 246.02

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Why These Related Problems?

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