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Finding the Fourth Proportional to 172.46, 258.44 and 129.74

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Solution

The fourth proportional to 172.46, 258.44 and 129.74 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 258.44 = 129.74 : x
  2. Step 2: Convert to fraction form
    172.46/258.44 = 129.74/x
  3. Step 3: Cross multiply
    172.46x = 258.44 × 129.74
  4. Step 4: Simplify right side
    172.46x = 33,530.01
  5. Step 5: Solve for x
    x = 33,530.01/172.46
  6. Step 6: Final answer
    x = 194.42

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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.