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Finding the Fourth Proportional to 161.78, 242.76 and 150.23

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Solution

The fourth proportional to 161.78, 242.76 and 150.23 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 242.76 = 150.23 : x
  2. Step 2: Convert to fraction form
    161.78/242.76 = 150.23/x
  3. Step 3: Cross multiply
    161.78x = 242.76 × 150.23
  4. Step 4: Simplify right side
    161.78x = 36,468.62
  5. Step 5: Solve for x
    x = 36,468.62/161.78
  6. Step 6: Final answer
    x = 225.43

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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.