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Finding the Fourth Proportional to 194.63, 292.37 and 186.82

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Solution

The fourth proportional to 194.63, 292.37 and 186.82 is: 280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.63 : 292.37 = 186.82 : x
  2. Step 2: Convert to fraction form
    194.63/292.37 = 186.82/x
  3. Step 3: Cross multiply
    194.63x = 292.37 × 186.82
  4. Step 4: Simplify right side
    194.63x = 54,618.90
  5. Step 5: Solve for x
    x = 54,618.90/194.63
  6. Step 6: Final answer
    x = 280.64

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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.