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Finding the Fourth Proportional to 192.04, 286.67 and 185.62

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Solution

The fourth proportional to 192.04, 286.67 and 185.62 is: 277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 286.67 = 185.62 : x
  2. Step 2: Convert to fraction form
    192.04/286.67 = 185.62/x
  3. Step 3: Cross multiply
    192.04x = 286.67 × 185.62
  4. Step 4: Simplify right side
    192.04x = 53,211.69
  5. Step 5: Solve for x
    x = 53,211.69/192.04
  6. Step 6: Final answer
    x = 277.09

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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.