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Finding the Fourth Proportional to 606.18, 909.21 and 195.20

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Solution

The fourth proportional to 606.18, 909.21 and 195.20 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.18 : 909.21 = 195.20 : x
  2. Step 2: Convert to fraction form
    606.18/909.21 = 195.20/x
  3. Step 3: Cross multiply
    606.18x = 909.21 × 195.20
  4. Step 4: Simplify right side
    606.18x = 177,477.79
  5. Step 5: Solve for x
    x = 177,477.79/606.18
  6. Step 6: Final answer
    x = 292.78

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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.