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Finding the Fourth Proportional to 303.81, 455.85 and 166.80

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Solution

The fourth proportional to 303.81, 455.85 and 166.80 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 455.85 = 166.80 : x
  2. Step 2: Convert to fraction form
    303.81/455.85 = 166.80/x
  3. Step 3: Cross multiply
    303.81x = 455.85 × 166.80
  4. Step 4: Simplify right side
    303.81x = 76,035.78
  5. Step 5: Solve for x
    x = 76,035.78/303.81
  6. Step 6: Final answer
    x = 250.27

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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.