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Finding the Fourth Proportional to 333.29, 500.12 and 150.66

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Solution

The fourth proportional to 333.29, 500.12 and 150.66 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.29 : 500.12 = 150.66 : x
  2. Step 2: Convert to fraction form
    333.29/500.12 = 150.66/x
  3. Step 3: Cross multiply
    333.29x = 500.12 × 150.66
  4. Step 4: Simplify right side
    333.29x = 75,348.74
  5. Step 5: Solve for x
    x = 75,348.74/333.29
  6. Step 6: Final answer
    x = 226.08

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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.