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Finding the Fourth Proportional to 150.91, 226.67 and 141.19

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Solution

The fourth proportional to 150.91, 226.67 and 141.19 is: 212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.91 : 226.67 = 141.19 : x
  2. Step 2: Convert to fraction form
    150.91/226.67 = 141.19/x
  3. Step 3: Cross multiply
    150.91x = 226.67 × 141.19
  4. Step 4: Simplify right side
    150.91x = 32,002.26
  5. Step 5: Solve for x
    x = 32,002.26/150.91
  6. Step 6: Final answer
    x = 212.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.