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Finding the Fourth Proportional to 229.63, 344.46 and 83.42

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Solution

The fourth proportional to 229.63, 344.46 and 83.42 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.63 : 344.46 = 83.42 : x
  2. Step 2: Convert to fraction form
    229.63/344.46 = 83.42/x
  3. Step 3: Cross multiply
    229.63x = 344.46 × 83.42
  4. Step 4: Simplify right side
    229.63x = 28,734.09
  5. Step 5: Solve for x
    x = 28,734.09/229.63
  6. Step 6: Final answer
    x = 125.13

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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.