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Finding the Fourth Proportional to 192.13, 287.51 and 166.54

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Solution

The fourth proportional to 192.13, 287.51 and 166.54 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.13 : 287.51 = 166.54 : x
  2. Step 2: Convert to fraction form
    192.13/287.51 = 166.54/x
  3. Step 3: Cross multiply
    192.13x = 287.51 × 166.54
  4. Step 4: Simplify right side
    192.13x = 47,881.92
  5. Step 5: Solve for x
    x = 47,881.92/192.13
  6. Step 6: Final answer
    x = 249.22

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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.