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Finding the Fourth Proportional to 192.41, 264.91 and 170.24

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Solution

The fourth proportional to 192.41, 264.91 and 170.24 is: 234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 264.91 = 170.24 : x
  2. Step 2: Convert to fraction form
    192.41/264.91 = 170.24/x
  3. Step 3: Cross multiply
    192.41x = 264.91 × 170.24
  4. Step 4: Simplify right side
    192.41x = 45,097.43
  5. Step 5: Solve for x
    x = 45,097.43/192.41
  6. Step 6: Final answer
    x = 234.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.