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Finding the Fourth Proportional to 172.30, 238.41 and 147.37

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Solution

The fourth proportional to 172.30, 238.41 and 147.37 is: 203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 238.41 = 147.37 : x
  2. Step 2: Convert to fraction form
    172.30/238.41 = 147.37/x
  3. Step 3: Cross multiply
    172.30x = 238.41 × 147.37
  4. Step 4: Simplify right side
    172.30x = 35,134.48
  5. Step 5: Solve for x
    x = 35,134.48/172.30
  6. Step 6: Final answer
    x = 203.91

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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.