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Finding the Fourth Proportional to 202.13, 302.68 and 165.48

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Solution

The fourth proportional to 202.13, 302.68 and 165.48 is: 247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 302.68 = 165.48 : x
  2. Step 2: Convert to fraction form
    202.13/302.68 = 165.48/x
  3. Step 3: Cross multiply
    202.13x = 302.68 × 165.48
  4. Step 4: Simplify right side
    202.13x = 50,086.24
  5. Step 5: Solve for x
    x = 50,086.24/202.13
  6. Step 6: Final answer
    x = 247.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.