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Finding the Fourth Proportional to 172.74, 258.80 and 142.23

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Solution

The fourth proportional to 172.74, 258.80 and 142.23 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 258.80 = 142.23 : x
  2. Step 2: Convert to fraction form
    172.74/258.80 = 142.23/x
  3. Step 3: Cross multiply
    172.74x = 258.80 × 142.23
  4. Step 4: Simplify right side
    172.74x = 36,808.41
  5. Step 5: Solve for x
    x = 36,808.41/172.74
  6. Step 6: Final answer
    x = 213.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.