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Finding the Fourth Proportional to 195.45, 292.87 and 164.87

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Solution

The fourth proportional to 195.45, 292.87 and 164.87 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 292.87 = 164.87 : x
  2. Step 2: Convert to fraction form
    195.45/292.87 = 164.87/x
  3. Step 3: Cross multiply
    195.45x = 292.87 × 164.87
  4. Step 4: Simplify right side
    195.45x = 48,285.80
  5. Step 5: Solve for x
    x = 48,285.80/195.45
  6. Step 6: Final answer
    x = 247.05

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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.