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Finding the Fourth Proportional to 286.01, 394.55 and 192.76

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Solution

The fourth proportional to 286.01, 394.55 and 192.76 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.01 : 394.55 = 192.76 : x
  2. Step 2: Convert to fraction form
    286.01/394.55 = 192.76/x
  3. Step 3: Cross multiply
    286.01x = 394.55 × 192.76
  4. Step 4: Simplify right side
    286.01x = 76,053.46
  5. Step 5: Solve for x
    x = 76,053.46/286.01
  6. Step 6: Final answer
    x = 265.91

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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.