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Finding the Fourth Proportional to 172.42, 238.02 and 135.73

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Solution

The fourth proportional to 172.42, 238.02 and 135.73 is: 187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.42 : 238.02 = 135.73 : x
  2. Step 2: Convert to fraction form
    172.42/238.02 = 135.73/x
  3. Step 3: Cross multiply
    172.42x = 238.02 × 135.73
  4. Step 4: Simplify right side
    172.42x = 32,306.45
  5. Step 5: Solve for x
    x = 32,306.45/172.42
  6. Step 6: Final answer
    x = 187.37

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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.