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Finding the Fourth Proportional to 234.84, 323.91 and 157.08

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Solution

The fourth proportional to 234.84, 323.91 and 157.08 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 323.91 = 157.08 : x
  2. Step 2: Convert to fraction form
    234.84/323.91 = 157.08/x
  3. Step 3: Cross multiply
    234.84x = 323.91 × 157.08
  4. Step 4: Simplify right side
    234.84x = 50,879.78
  5. Step 5: Solve for x
    x = 50,879.78/234.84
  6. Step 6: Final answer
    x = 216.66

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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.