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Finding the Fourth Proportional to 202.15, 303.68 and 174.81

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Solution

The fourth proportional to 202.15, 303.68 and 174.81 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.15 : 303.68 = 174.81 : x
  2. Step 2: Convert to fraction form
    202.15/303.68 = 174.81/x
  3. Step 3: Cross multiply
    202.15x = 303.68 × 174.81
  4. Step 4: Simplify right side
    202.15x = 53,086.30
  5. Step 5: Solve for x
    x = 53,086.30/202.15
  6. Step 6: Final answer
    x = 262.61

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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.