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Finding the Fourth Proportional to 227.87, 341.64 and 117.96

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Solution

The fourth proportional to 227.87, 341.64 and 117.96 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.87 : 341.64 = 117.96 : x
  2. Step 2: Convert to fraction form
    227.87/341.64 = 117.96/x
  3. Step 3: Cross multiply
    227.87x = 341.64 × 117.96
  4. Step 4: Simplify right side
    227.87x = 40,301.14
  5. Step 5: Solve for x
    x = 40,301.14/227.87
  6. Step 6: Final answer
    x = 176.86

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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.