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Finding the Fourth Proportional to 202.45, 279.51 and 161.21

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Solution

The fourth proportional to 202.45, 279.51 and 161.21 is: 222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.45 : 279.51 = 161.21 : x
  2. Step 2: Convert to fraction form
    202.45/279.51 = 161.21/x
  3. Step 3: Cross multiply
    202.45x = 279.51 × 161.21
  4. Step 4: Simplify right side
    202.45x = 45,059.81
  5. Step 5: Solve for x
    x = 45,059.81/202.45
  6. Step 6: Final answer
    x = 222.57

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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.