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Finding the Fourth Proportional to 202.25, 302.96 and 163.51

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Solution

The fourth proportional to 202.25, 302.96 and 163.51 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.25 : 302.96 = 163.51 : x
  2. Step 2: Convert to fraction form
    202.25/302.96 = 163.51/x
  3. Step 3: Cross multiply
    202.25x = 302.96 × 163.51
  4. Step 4: Simplify right side
    202.25x = 49,536.64
  5. Step 5: Solve for x
    x = 49,536.64/202.25
  6. Step 6: Final answer
    x = 244.92

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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.