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Finding the Fourth Proportional to 235.09, 324.47 and 161.52

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Solution

The fourth proportional to 235.09, 324.47 and 161.52 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.09 : 324.47 = 161.52 : x
  2. Step 2: Convert to fraction form
    235.09/324.47 = 161.52/x
  3. Step 3: Cross multiply
    235.09x = 324.47 × 161.52
  4. Step 4: Simplify right side
    235.09x = 52,408.39
  5. Step 5: Solve for x
    x = 52,408.39/235.09
  6. Step 6: Final answer
    x = 222.93

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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.