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Finding the Fourth Proportional to 271.65, 374.78 and 178.37

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Solution

The fourth proportional to 271.65, 374.78 and 178.37 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 374.78 = 178.37 : x
  2. Step 2: Convert to fraction form
    271.65/374.78 = 178.37/x
  3. Step 3: Cross multiply
    271.65x = 374.78 × 178.37
  4. Step 4: Simplify right side
    271.65x = 66,846.74
  5. Step 5: Solve for x
    x = 66,846.74/271.65
  6. Step 6: Final answer
    x = 246.08

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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.