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Finding the Fourth Proportional to 195.89, 293.36 and 192.24

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Solution

The fourth proportional to 195.89, 293.36 and 192.24 is: 287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.89 : 293.36 = 192.24 : x
  2. Step 2: Convert to fraction form
    195.89/293.36 = 192.24/x
  3. Step 3: Cross multiply
    195.89x = 293.36 × 192.24
  4. Step 4: Simplify right side
    195.89x = 56,394.57
  5. Step 5: Solve for x
    x = 56,394.57/195.89
  6. Step 6: Final answer
    x = 287.90

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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.