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Finding the Fourth Proportional to 271.80, 374.22 and 228.60

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Solution

The fourth proportional to 271.80, 374.22 and 228.60 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 374.22 = 228.60 : x
  2. Step 2: Convert to fraction form
    271.80/374.22 = 228.60/x
  3. Step 3: Cross multiply
    271.80x = 374.22 × 228.60
  4. Step 4: Simplify right side
    271.80x = 85,546.69
  5. Step 5: Solve for x
    x = 85,546.69/271.80
  6. Step 6: Final answer
    x = 314.74

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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.