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Finding the Fourth Proportional to 192.17, 286.86 and 177.71

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Solution

The fourth proportional to 192.17, 286.86 and 177.71 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 286.86 = 177.71 : x
  2. Step 2: Convert to fraction form
    192.17/286.86 = 177.71/x
  3. Step 3: Cross multiply
    192.17x = 286.86 × 177.71
  4. Step 4: Simplify right side
    192.17x = 50,976.46
  5. Step 5: Solve for x
    x = 50,976.46/192.17
  6. Step 6: Final answer
    x = 265.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.