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Finding the Fourth Proportional to 172.66, 238.05 and 149.32

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Solution

The fourth proportional to 172.66, 238.05 and 149.32 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.66 : 238.05 = 149.32 : x
  2. Step 2: Convert to fraction form
    172.66/238.05 = 149.32/x
  3. Step 3: Cross multiply
    172.66x = 238.05 × 149.32
  4. Step 4: Simplify right side
    172.66x = 35,545.63
  5. Step 5: Solve for x
    x = 35,545.63/172.66
  6. Step 6: Final answer
    x = 205.87

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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.