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Finding the Fourth Proportional to 229.67, 344.56 and 114.17

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Solution

The fourth proportional to 229.67, 344.56 and 114.17 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.67 : 344.56 = 114.17 : x
  2. Step 2: Convert to fraction form
    229.67/344.56 = 114.17/x
  3. Step 3: Cross multiply
    229.67x = 344.56 × 114.17
  4. Step 4: Simplify right side
    229.67x = 39,338.99
  5. Step 5: Solve for x
    x = 39,338.99/229.67
  6. Step 6: Final answer
    x = 171.28

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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.