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Finding the Fourth Proportional to 202.89, 304.41 and 134.68

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Solution

The fourth proportional to 202.89, 304.41 and 134.68 is: 202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 304.41 = 134.68 : x
  2. Step 2: Convert to fraction form
    202.89/304.41 = 134.68/x
  3. Step 3: Cross multiply
    202.89x = 304.41 × 134.68
  4. Step 4: Simplify right side
    202.89x = 40,997.94
  5. Step 5: Solve for x
    x = 40,997.94/202.89
  6. Step 6: Final answer
    x = 202.07

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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.