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Finding the Fourth Proportional to 403.87, 605.77 and 130.16

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Solution

The fourth proportional to 403.87, 605.77 and 130.16 is: 195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.87 : 605.77 = 130.16 : x
  2. Step 2: Convert to fraction form
    403.87/605.77 = 130.16/x
  3. Step 3: Cross multiply
    403.87x = 605.77 × 130.16
  4. Step 4: Simplify right side
    403.87x = 78,847.02
  5. Step 5: Solve for x
    x = 78,847.02/403.87
  6. Step 6: Final answer
    x = 195.23

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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.