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Finding the Fourth Proportional to 172.45, 237.71 and 142.58

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Solution

The fourth proportional to 172.45, 237.71 and 142.58 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.45 : 237.71 = 142.58 : x
  2. Step 2: Convert to fraction form
    172.45/237.71 = 142.58/x
  3. Step 3: Cross multiply
    172.45x = 237.71 × 142.58
  4. Step 4: Simplify right side
    172.45x = 33,892.69
  5. Step 5: Solve for x
    x = 33,892.69/172.45
  6. Step 6: Final answer
    x = 196.54

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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.