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Finding the Fourth Proportional to 234.86, 324.16 and 141.66

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Solution

The fourth proportional to 234.86, 324.16 and 141.66 is: 195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 324.16 = 141.66 : x
  2. Step 2: Convert to fraction form
    234.86/324.16 = 141.66/x
  3. Step 3: Cross multiply
    234.86x = 324.16 × 141.66
  4. Step 4: Simplify right side
    234.86x = 45,920.51
  5. Step 5: Solve for x
    x = 45,920.51/234.86
  6. Step 6: Final answer
    x = 195.52

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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.