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Finding the Fourth Proportional to 606.10, 909.23 and 195.10

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Solution

The fourth proportional to 606.10, 909.23 and 195.10 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.10 : 909.23 = 195.10 : x
  2. Step 2: Convert to fraction form
    606.10/909.23 = 195.10/x
  3. Step 3: Cross multiply
    606.10x = 909.23 × 195.10
  4. Step 4: Simplify right side
    606.10x = 177,390.77
  5. Step 5: Solve for x
    x = 177,390.77/606.10
  6. Step 6: Final answer
    x = 292.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.