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Finding the Fourth Proportional to 194.28, 290.04 and 184.92

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Solution

The fourth proportional to 194.28, 290.04 and 184.92 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.28 : 290.04 = 184.92 : x
  2. Step 2: Convert to fraction form
    194.28/290.04 = 184.92/x
  3. Step 3: Cross multiply
    194.28x = 290.04 × 184.92
  4. Step 4: Simplify right side
    194.28x = 53,634.20
  5. Step 5: Solve for x
    x = 53,634.20/194.28
  6. Step 6: Final answer
    x = 276.07

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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.