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Finding the Fourth Proportional to 229.29, 344.11 and 214.94

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Solution

The fourth proportional to 229.29, 344.11 and 214.94 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 344.11 = 214.94 : x
  2. Step 2: Convert to fraction form
    229.29/344.11 = 214.94/x
  3. Step 3: Cross multiply
    229.29x = 344.11 × 214.94
  4. Step 4: Simplify right side
    229.29x = 73,963.55
  5. Step 5: Solve for x
    x = 73,963.55/229.29
  6. Step 6: Final answer
    x = 322.57

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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.