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Finding the Fourth Proportional to 172.54, 237.70 and 142.92

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Solution

The fourth proportional to 172.54, 237.70 and 142.92 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.54 : 237.70 = 142.92 : x
  2. Step 2: Convert to fraction form
    172.54/237.70 = 142.92/x
  3. Step 3: Cross multiply
    172.54x = 237.70 × 142.92
  4. Step 4: Simplify right side
    172.54x = 33,972.08
  5. Step 5: Solve for x
    x = 33,972.08/172.54
  6. Step 6: Final answer
    x = 196.89

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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.