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Finding the Fourth Proportional to 229.00, 343.34 and 111.80

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Solution

The fourth proportional to 229.00, 343.34 and 111.80 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.00 : 343.34 = 111.80 : x
  2. Step 2: Convert to fraction form
    229.00/343.34 = 111.80/x
  3. Step 3: Cross multiply
    229.00x = 343.34 × 111.80
  4. Step 4: Simplify right side
    229.00x = 38,383.14
  5. Step 5: Solve for x
    x = 38,383.14/229.00
  6. Step 6: Final answer
    x = 167.62

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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.