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Finding the Fourth Proportional to 202.33, 303.75 and 168.51

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Solution

The fourth proportional to 202.33, 303.75 and 168.51 is: 252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.33 : 303.75 = 168.51 : x
  2. Step 2: Convert to fraction form
    202.33/303.75 = 168.51/x
  3. Step 3: Cross multiply
    202.33x = 303.75 × 168.51
  4. Step 4: Simplify right side
    202.33x = 51,184.91
  5. Step 5: Solve for x
    x = 51,184.91/202.33
  6. Step 6: Final answer
    x = 252.98

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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.