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Finding the Fourth Proportional to 189, 261.33 and 150.12

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Solution

The fourth proportional to 189, 261.33 and 150.12 is: 207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 261.33 = 150.12 : x
  2. Step 2: Convert to fraction form
    189/261.33 = 150.12/x
  3. Step 3: Cross multiply
    189x = 261.33 × 150.12
  4. Step 4: Simplify right side
    189x = 39,230.86
  5. Step 5: Solve for x
    x = 39,230.86/189
  6. Step 6: Final answer
    x = 207.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.