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Finding the Fourth Proportional to 271.78, 374.99 and 173.36

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Solution

The fourth proportional to 271.78, 374.99 and 173.36 is: 239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 374.99 = 173.36 : x
  2. Step 2: Convert to fraction form
    271.78/374.99 = 173.36/x
  3. Step 3: Cross multiply
    271.78x = 374.99 × 173.36
  4. Step 4: Simplify right side
    271.78x = 65,008.34
  5. Step 5: Solve for x
    x = 65,008.34/271.78
  6. Step 6: Final answer
    x = 239.20

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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.