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Finding the Fourth Proportional to 194.09, 290.66 and 192.06

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Solution

The fourth proportional to 194.09, 290.66 and 192.06 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.09 : 290.66 = 192.06 : x
  2. Step 2: Convert to fraction form
    194.09/290.66 = 192.06/x
  3. Step 3: Cross multiply
    194.09x = 290.66 × 192.06
  4. Step 4: Simplify right side
    194.09x = 55,823.20
  5. Step 5: Solve for x
    x = 55,823.20/194.09
  6. Step 6: Final answer
    x = 287.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.