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Finding the Fourth Proportional to 213.73, 295.02 and 125.24

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Solution

The fourth proportional to 213.73, 295.02 and 125.24 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.73 : 295.02 = 125.24 : x
  2. Step 2: Convert to fraction form
    213.73/295.02 = 125.24/x
  3. Step 3: Cross multiply
    213.73x = 295.02 × 125.24
  4. Step 4: Simplify right side
    213.73x = 36,946.89
  5. Step 5: Solve for x
    x = 36,946.89/213.73
  6. Step 6: Final answer
    x = 172.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.