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Finding the Fourth Proportional to 172.46, 237.75 and 170.14

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Solution

The fourth proportional to 172.46, 237.75 and 170.14 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 237.75 = 170.14 : x
  2. Step 2: Convert to fraction form
    172.46/237.75 = 170.14/x
  3. Step 3: Cross multiply
    172.46x = 237.75 × 170.14
  4. Step 4: Simplify right side
    172.46x = 40,450.79
  5. Step 5: Solve for x
    x = 40,450.79/172.46
  6. Step 6: Final answer
    x = 234.55

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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.