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Finding the Fourth Proportional to 229.51, 344.31 and 107.70

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Solution

The fourth proportional to 229.51, 344.31 and 107.70 is: 161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.51 : 344.31 = 107.70 : x
  2. Step 2: Convert to fraction form
    229.51/344.31 = 107.70/x
  3. Step 3: Cross multiply
    229.51x = 344.31 × 107.70
  4. Step 4: Simplify right side
    229.51x = 37,082.73
  5. Step 5: Solve for x
    x = 37,082.73/229.51
  6. Step 6: Final answer
    x = 161.58

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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.