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Finding the Fourth Proportional to 172.67, 237.65 and 166.46

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Solution

The fourth proportional to 172.67, 237.65 and 166.46 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.67 : 237.65 = 166.46 : x
  2. Step 2: Convert to fraction form
    172.67/237.65 = 166.46/x
  3. Step 3: Cross multiply
    172.67x = 237.65 × 166.46
  4. Step 4: Simplify right side
    172.67x = 39,557.20
  5. Step 5: Solve for x
    x = 39,557.20/172.67
  6. Step 6: Final answer
    x = 229.10

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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.