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Finding the Fourth Proportional to 234.90, 324.17 and 141.64

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Solution

The fourth proportional to 234.90, 324.17 and 141.64 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 324.17 = 141.64 : x
  2. Step 2: Convert to fraction form
    234.90/324.17 = 141.64/x
  3. Step 3: Cross multiply
    234.90x = 324.17 × 141.64
  4. Step 4: Simplify right side
    234.90x = 45,913.82
  5. Step 5: Solve for x
    x = 45,913.82/234.90
  6. Step 6: Final answer
    x = 195.47

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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.