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Finding the Fourth Proportional to 161.72, 242.32 and 155.73

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Solution

The fourth proportional to 161.72, 242.32 and 155.73 is: 233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.72 : 242.32 = 155.73 : x
  2. Step 2: Convert to fraction form
    161.72/242.32 = 155.73/x
  3. Step 3: Cross multiply
    161.72x = 242.32 × 155.73
  4. Step 4: Simplify right side
    161.72x = 37,735.71
  5. Step 5: Solve for x
    x = 37,735.71/161.72
  6. Step 6: Final answer
    x = 233.34

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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.