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Finding the Fourth Proportional to 271.45, 374.79 and 178.36

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Solution

The fourth proportional to 271.45, 374.79 and 178.36 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.45 : 374.79 = 178.36 : x
  2. Step 2: Convert to fraction form
    271.45/374.79 = 178.36/x
  3. Step 3: Cross multiply
    271.45x = 374.79 × 178.36
  4. Step 4: Simplify right side
    271.45x = 66,844.78
  5. Step 5: Solve for x
    x = 66,844.78/271.45
  6. Step 6: Final answer
    x = 246.25

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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.