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Finding the Fourth Proportional to 161.76, 222.24 and 151.20

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Solution

The fourth proportional to 161.76, 222.24 and 151.20 is: 207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 222.24 = 151.20 : x
  2. Step 2: Convert to fraction form
    161.76/222.24 = 151.20/x
  3. Step 3: Cross multiply
    161.76x = 222.24 × 151.20
  4. Step 4: Simplify right side
    161.76x = 33,602.69
  5. Step 5: Solve for x
    x = 33,602.69/161.76
  6. Step 6: Final answer
    x = 207.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.