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Finding the Fourth Proportional to 229.48, 344.38 and 142.94

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Solution

The fourth proportional to 229.48, 344.38 and 142.94 is: 214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 344.38 = 142.94 : x
  2. Step 2: Convert to fraction form
    229.48/344.38 = 142.94/x
  3. Step 3: Cross multiply
    229.48x = 344.38 × 142.94
  4. Step 4: Simplify right side
    229.48x = 49,224.31
  5. Step 5: Solve for x
    x = 49,224.31/229.48
  6. Step 6: Final answer
    x = 214.51

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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.