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Finding the Fourth Proportional to 150.12, 223.91 and 131.96

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Solution

The fourth proportional to 150.12, 223.91 and 131.96 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 223.91 = 131.96 : x
  2. Step 2: Convert to fraction form
    150.12/223.91 = 131.96/x
  3. Step 3: Cross multiply
    150.12x = 223.91 × 131.96
  4. Step 4: Simplify right side
    150.12x = 29,547.16
  5. Step 5: Solve for x
    x = 29,547.16/150.12
  6. Step 6: Final answer
    x = 196.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.