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Finding the Fourth Proportional to 172.82, 258.22 and 142.04

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Solution

The fourth proportional to 172.82, 258.22 and 142.04 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 258.22 = 142.04 : x
  2. Step 2: Convert to fraction form
    172.82/258.22 = 142.04/x
  3. Step 3: Cross multiply
    172.82x = 258.22 × 142.04
  4. Step 4: Simplify right side
    172.82x = 36,677.57
  5. Step 5: Solve for x
    x = 36,677.57/172.82
  6. Step 6: Final answer
    x = 212.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.