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Finding the Fourth Proportional to 227.93, 341.82 and 119.66

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Solution

The fourth proportional to 227.93, 341.82 and 119.66 is: 179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.93 : 341.82 = 119.66 : x
  2. Step 2: Convert to fraction form
    227.93/341.82 = 119.66/x
  3. Step 3: Cross multiply
    227.93x = 341.82 × 119.66
  4. Step 4: Simplify right side
    227.93x = 40,900.47
  5. Step 5: Solve for x
    x = 40,900.47/227.93
  6. Step 6: Final answer
    x = 179.45

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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.