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Finding the Fourth Proportional to 161.54, 222.78 and 145.22

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Solution

The fourth proportional to 161.54, 222.78 and 145.22 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.54 : 222.78 = 145.22 : x
  2. Step 2: Convert to fraction form
    161.54/222.78 = 145.22/x
  3. Step 3: Cross multiply
    161.54x = 222.78 × 145.22
  4. Step 4: Simplify right side
    161.54x = 32,351.28
  5. Step 5: Solve for x
    x = 32,351.28/161.54
  6. Step 6: Final answer
    x = 200.27

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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.