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Finding the Fourth Proportional to 606.02, 908.59 and 194.92

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Solution

The fourth proportional to 606.02, 908.59 and 194.92 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.02 : 908.59 = 194.92 : x
  2. Step 2: Convert to fraction form
    606.02/908.59 = 194.92/x
  3. Step 3: Cross multiply
    606.02x = 908.59 × 194.92
  4. Step 4: Simplify right side
    606.02x = 177,102.36
  5. Step 5: Solve for x
    x = 177,102.36/606.02
  6. Step 6: Final answer
    x = 292.24

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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.