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Finding the Fourth Proportional to 271.87, 375.33 and 178.77

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Solution

The fourth proportional to 271.87, 375.33 and 178.77 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 375.33 = 178.77 : x
  2. Step 2: Convert to fraction form
    271.87/375.33 = 178.77/x
  3. Step 3: Cross multiply
    271.87x = 375.33 × 178.77
  4. Step 4: Simplify right side
    271.87x = 67,097.74
  5. Step 5: Solve for x
    x = 67,097.74/271.87
  6. Step 6: Final answer
    x = 246.80

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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.