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Finding the Fourth Proportional to 403.96, 605.94 and 160.54

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Solution

The fourth proportional to 403.96, 605.94 and 160.54 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.96 : 605.94 = 160.54 : x
  2. Step 2: Convert to fraction form
    403.96/605.94 = 160.54/x
  3. Step 3: Cross multiply
    403.96x = 605.94 × 160.54
  4. Step 4: Simplify right side
    403.96x = 97,277.61
  5. Step 5: Solve for x
    x = 97,277.61/403.96
  6. Step 6: Final answer
    x = 240.81

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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.