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Finding the Fourth Proportional to 234.51, 323.80 and 151.67

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Solution

The fourth proportional to 234.51, 323.80 and 151.67 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.51 : 323.80 = 151.67 : x
  2. Step 2: Convert to fraction form
    234.51/323.80 = 151.67/x
  3. Step 3: Cross multiply
    234.51x = 323.80 × 151.67
  4. Step 4: Simplify right side
    234.51x = 49,110.75
  5. Step 5: Solve for x
    x = 49,110.75/234.51
  6. Step 6: Final answer
    x = 209.42

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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.