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Finding the Fourth Proportional to 229.22, 342.96 and 136.33

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Solution

The fourth proportional to 229.22, 342.96 and 136.33 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.22 : 342.96 = 136.33 : x
  2. Step 2: Convert to fraction form
    229.22/342.96 = 136.33/x
  3. Step 3: Cross multiply
    229.22x = 342.96 × 136.33
  4. Step 4: Simplify right side
    229.22x = 46,754.02
  5. Step 5: Solve for x
    x = 46,754.02/229.22
  6. Step 6: Final answer
    x = 203.97

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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.