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Finding the Fourth Proportional to 234.37, 323.52 and 160.86

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Solution

The fourth proportional to 234.37, 323.52 and 160.86 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.37 : 323.52 = 160.86 : x
  2. Step 2: Convert to fraction form
    234.37/323.52 = 160.86/x
  3. Step 3: Cross multiply
    234.37x = 323.52 × 160.86
  4. Step 4: Simplify right side
    234.37x = 52,041.43
  5. Step 5: Solve for x
    x = 52,041.43/234.37
  6. Step 6: Final answer
    x = 222.05

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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.