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Finding the Fourth Proportional to 234.64, 323.72 and 160.88

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Solution

The fourth proportional to 234.64, 323.72 and 160.88 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.64 : 323.72 = 160.88 : x
  2. Step 2: Convert to fraction form
    234.64/323.72 = 160.88/x
  3. Step 3: Cross multiply
    234.64x = 323.72 × 160.88
  4. Step 4: Simplify right side
    234.64x = 52,080.07
  5. Step 5: Solve for x
    x = 52,080.07/234.64
  6. Step 6: Final answer
    x = 221.96

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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.