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Finding the Fourth Proportional to 202.23, 302.64 and 165.78

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Solution

The fourth proportional to 202.23, 302.64 and 165.78 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 302.64 = 165.78 : x
  2. Step 2: Convert to fraction form
    202.23/302.64 = 165.78/x
  3. Step 3: Cross multiply
    202.23x = 302.64 × 165.78
  4. Step 4: Simplify right side
    202.23x = 50,171.04
  5. Step 5: Solve for x
    x = 50,171.04/202.23
  6. Step 6: Final answer
    x = 248.09

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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.