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Finding the Fourth Proportional to 404.08, 605.96 and 160.54

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Solution

The fourth proportional to 404.08, 605.96 and 160.54 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.08 : 605.96 = 160.54 : x
  2. Step 2: Convert to fraction form
    404.08/605.96 = 160.54/x
  3. Step 3: Cross multiply
    404.08x = 605.96 × 160.54
  4. Step 4: Simplify right side
    404.08x = 97,280.82
  5. Step 5: Solve for x
    x = 97,280.82/404.08
  6. Step 6: Final answer
    x = 240.75

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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.