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Finding the Fourth Proportional to 403.69, 605.81 and 160.19

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Solution

The fourth proportional to 403.69, 605.81 and 160.19 is: 240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.69 : 605.81 = 160.19 : x
  2. Step 2: Convert to fraction form
    403.69/605.81 = 160.19/x
  3. Step 3: Cross multiply
    403.69x = 605.81 × 160.19
  4. Step 4: Simplify right side
    403.69x = 97,044.70
  5. Step 5: Solve for x
    x = 97,044.70/403.69
  6. Step 6: Final answer
    x = 240.39

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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.