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Finding the Fourth Proportional to 192.39, 265.46 and 118.66

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Solution

The fourth proportional to 192.39, 265.46 and 118.66 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.39 : 265.46 = 118.66 : x
  2. Step 2: Convert to fraction form
    192.39/265.46 = 118.66/x
  3. Step 3: Cross multiply
    192.39x = 265.46 × 118.66
  4. Step 4: Simplify right side
    192.39x = 31,498.23
  5. Step 5: Solve for x
    x = 31,498.23/192.39
  6. Step 6: Final answer
    x = 163.72

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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.