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Finding the Fourth Proportional to 172.17, 258.26 and 138.15

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Solution

The fourth proportional to 172.17, 258.26 and 138.15 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 258.26 = 138.15 : x
  2. Step 2: Convert to fraction form
    172.17/258.26 = 138.15/x
  3. Step 3: Cross multiply
    172.17x = 258.26 × 138.15
  4. Step 4: Simplify right side
    172.17x = 35,677.93
  5. Step 5: Solve for x
    x = 35,677.93/172.17
  6. Step 6: Final answer
    x = 207.23

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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.