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Finding the Fourth Proportional to 234.99, 324.41 and 160.34

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Solution

The fourth proportional to 234.99, 324.41 and 160.34 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.99 : 324.41 = 160.34 : x
  2. Step 2: Convert to fraction form
    234.99/324.41 = 160.34/x
  3. Step 3: Cross multiply
    234.99x = 324.41 × 160.34
  4. Step 4: Simplify right side
    234.99x = 52,013.48
  5. Step 5: Solve for x
    x = 52,013.48/234.99
  6. Step 6: Final answer
    x = 221.34

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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.