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Finding the Fourth Proportional to 286.04, 394.66 and 192.96

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Solution

The fourth proportional to 286.04, 394.66 and 192.96 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 394.66 = 192.96 : x
  2. Step 2: Convert to fraction form
    286.04/394.66 = 192.96/x
  3. Step 3: Cross multiply
    286.04x = 394.66 × 192.96
  4. Step 4: Simplify right side
    286.04x = 76,153.59
  5. Step 5: Solve for x
    x = 76,153.59/286.04
  6. Step 6: Final answer
    x = 266.23

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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.