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Finding the Fourth Proportional to 229.88, 344.31 and 120.23

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Solution

The fourth proportional to 229.88, 344.31 and 120.23 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 344.31 = 120.23 : x
  2. Step 2: Convert to fraction form
    229.88/344.31 = 120.23/x
  3. Step 3: Cross multiply
    229.88x = 344.31 × 120.23
  4. Step 4: Simplify right side
    229.88x = 41,396.39
  5. Step 5: Solve for x
    x = 41,396.39/229.88
  6. Step 6: Final answer
    x = 180.08

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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.