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Finding the Fourth Proportional to 192.94, 291.13 and 185.44

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Solution

The fourth proportional to 192.94, 291.13 and 185.44 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.94 : 291.13 = 185.44 : x
  2. Step 2: Convert to fraction form
    192.94/291.13 = 185.44/x
  3. Step 3: Cross multiply
    192.94x = 291.13 × 185.44
  4. Step 4: Simplify right side
    192.94x = 53,987.15
  5. Step 5: Solve for x
    x = 53,987.15/192.94
  6. Step 6: Final answer
    x = 279.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.