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Finding the Fourth Proportional to 403.24, 605.08 and 159.94

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Solution

The fourth proportional to 403.24, 605.08 and 159.94 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.24 : 605.08 = 159.94 : x
  2. Step 2: Convert to fraction form
    403.24/605.08 = 159.94/x
  3. Step 3: Cross multiply
    403.24x = 605.08 × 159.94
  4. Step 4: Simplify right side
    403.24x = 96,773.47
  5. Step 5: Solve for x
    x = 96,773.47/403.24
  6. Step 6: Final answer
    x = 239.99

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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.