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Finding the Fourth Proportional to 235.06, 324.51 and 161.49

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Solution

The fourth proportional to 235.06, 324.51 and 161.49 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.06 : 324.51 = 161.49 : x
  2. Step 2: Convert to fraction form
    235.06/324.51 = 161.49/x
  3. Step 3: Cross multiply
    235.06x = 324.51 × 161.49
  4. Step 4: Simplify right side
    235.06x = 52,405.12
  5. Step 5: Solve for x
    x = 52,405.12/235.06
  6. Step 6: Final answer
    x = 222.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.