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Finding the Fourth Proportional to 229.35, 344.21 and 85.17

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Solution

The fourth proportional to 229.35, 344.21 and 85.17 is: 127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.35 : 344.21 = 85.17 : x
  2. Step 2: Convert to fraction form
    229.35/344.21 = 85.17/x
  3. Step 3: Cross multiply
    229.35x = 344.21 × 85.17
  4. Step 4: Simplify right side
    229.35x = 29,315.94
  5. Step 5: Solve for x
    x = 29,315.94/229.35
  6. Step 6: Final answer
    x = 127.82

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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.