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Finding the Fourth Proportional to 172.17, 257.97 and 150.39

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Solution

The fourth proportional to 172.17, 257.97 and 150.39 is: 225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 257.97 = 150.39 : x
  2. Step 2: Convert to fraction form
    172.17/257.97 = 150.39/x
  3. Step 3: Cross multiply
    172.17x = 257.97 × 150.39
  4. Step 4: Simplify right side
    172.17x = 38,796.11
  5. Step 5: Solve for x
    x = 38,796.11/172.17
  6. Step 6: Final answer
    x = 225.34

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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.