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Finding the Fourth Proportional to 403.25, 605.15 and 159.77

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Solution

The fourth proportional to 403.25, 605.15 and 159.77 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 605.15 = 159.77 : x
  2. Step 2: Convert to fraction form
    403.25/605.15 = 159.77/x
  3. Step 3: Cross multiply
    403.25x = 605.15 × 159.77
  4. Step 4: Simplify right side
    403.25x = 96,680.99
  5. Step 5: Solve for x
    x = 96,680.99/403.25
  6. Step 6: Final answer
    x = 239.76

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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.