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Finding the Fourth Proportional to 195.09, 292.62 and 73.30

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Solution

The fourth proportional to 195.09, 292.62 and 73.30 is: 109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 292.62 = 73.30 : x
  2. Step 2: Convert to fraction form
    195.09/292.62 = 73.30/x
  3. Step 3: Cross multiply
    195.09x = 292.62 × 73.30
  4. Step 4: Simplify right side
    195.09x = 21,449.05
  5. Step 5: Solve for x
    x = 21,449.05/195.09
  6. Step 6: Final answer
    x = 109.94

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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.