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Finding the Fourth Proportional to 271.44, 374.29 and 178.07

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Solution

The fourth proportional to 271.44, 374.29 and 178.07 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 374.29 = 178.07 : x
  2. Step 2: Convert to fraction form
    271.44/374.29 = 178.07/x
  3. Step 3: Cross multiply
    271.44x = 374.29 × 178.07
  4. Step 4: Simplify right side
    271.44x = 66,647.50
  5. Step 5: Solve for x
    x = 66,647.50/271.44
  6. Step 6: Final answer
    x = 245.53

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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.