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Finding the Fourth Proportional to 234.79, 323.91 and 160.98

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Solution

The fourth proportional to 234.79, 323.91 and 160.98 is: 222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.79 : 323.91 = 160.98 : x
  2. Step 2: Convert to fraction form
    234.79/323.91 = 160.98/x
  3. Step 3: Cross multiply
    234.79x = 323.91 × 160.98
  4. Step 4: Simplify right side
    234.79x = 52,141.41
  5. Step 5: Solve for x
    x = 52,141.41/234.79
  6. Step 6: Final answer
    x = 222.08

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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.