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Finding the Fourth Proportional to 227.18, 341.43 and 188.91

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Solution

The fourth proportional to 227.18, 341.43 and 188.91 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.18 : 341.43 = 188.91 : x
  2. Step 2: Convert to fraction form
    227.18/341.43 = 188.91/x
  3. Step 3: Cross multiply
    227.18x = 341.43 × 188.91
  4. Step 4: Simplify right side
    227.18x = 64,499.54
  5. Step 5: Solve for x
    x = 64,499.54/227.18
  6. Step 6: Final answer
    x = 283.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.