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Finding the Fourth Proportional to 227.72, 341.40 and 106.07

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Solution

The fourth proportional to 227.72, 341.40 and 106.07 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 341.40 = 106.07 : x
  2. Step 2: Convert to fraction form
    227.72/341.40 = 106.07/x
  3. Step 3: Cross multiply
    227.72x = 341.40 × 106.07
  4. Step 4: Simplify right side
    227.72x = 36,211.87
  5. Step 5: Solve for x
    x = 36,211.87/227.72
  6. Step 6: Final answer
    x = 159.02

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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.