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Finding the Fourth Proportional to 606.12, 909.14 and 195.16

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Solution

The fourth proportional to 606.12, 909.14 and 195.16 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.12 : 909.14 = 195.16 : x
  2. Step 2: Convert to fraction form
    606.12/909.14 = 195.16/x
  3. Step 3: Cross multiply
    606.12x = 909.14 × 195.16
  4. Step 4: Simplify right side
    606.12x = 177,427.76
  5. Step 5: Solve for x
    x = 177,427.76/606.12
  6. Step 6: Final answer
    x = 292.73

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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.