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Finding the Fourth Proportional to 150.24, 223.86 and 134.07

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Solution

The fourth proportional to 150.24, 223.86 and 134.07 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 223.86 = 134.07 : x
  2. Step 2: Convert to fraction form
    150.24/223.86 = 134.07/x
  3. Step 3: Cross multiply
    150.24x = 223.86 × 134.07
  4. Step 4: Simplify right side
    150.24x = 30,012.24
  5. Step 5: Solve for x
    x = 30,012.24/150.24
  6. Step 6: Final answer
    x = 199.76

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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.