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Finding the Fourth Proportional to 229.74, 344.96 and 201.29

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Solution

The fourth proportional to 229.74, 344.96 and 201.29 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 344.96 = 201.29 : x
  2. Step 2: Convert to fraction form
    229.74/344.96 = 201.29/x
  3. Step 3: Cross multiply
    229.74x = 344.96 × 201.29
  4. Step 4: Simplify right side
    229.74x = 69,435.02
  5. Step 5: Solve for x
    x = 69,435.02/229.74
  6. Step 6: Final answer
    x = 302.24

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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.