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Finding the Fourth Proportional to 565.25, 847.97 and 195.04

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Solution

The fourth proportional to 565.25, 847.97 and 195.04 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.25 : 847.97 = 195.04 : x
  2. Step 2: Convert to fraction form
    565.25/847.97 = 195.04/x
  3. Step 3: Cross multiply
    565.25x = 847.97 × 195.04
  4. Step 4: Simplify right side
    565.25x = 165,388.07
  5. Step 5: Solve for x
    x = 165,388.07/565.25
  6. Step 6: Final answer
    x = 292.59

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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.