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Finding the Fourth Proportional to 229.23, 344.79 and 168.75

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Solution

The fourth proportional to 229.23, 344.79 and 168.75 is: 253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 344.79 = 168.75 : x
  2. Step 2: Convert to fraction form
    229.23/344.79 = 168.75/x
  3. Step 3: Cross multiply
    229.23x = 344.79 × 168.75
  4. Step 4: Simplify right side
    229.23x = 58,183.31
  5. Step 5: Solve for x
    x = 58,183.31/229.23
  6. Step 6: Final answer
    x = 253.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.