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Finding the Fourth Proportional to 202.89, 304.38 and 121.76

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Solution

The fourth proportional to 202.89, 304.38 and 121.76 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 304.38 = 121.76 : x
  2. Step 2: Convert to fraction form
    202.89/304.38 = 121.76/x
  3. Step 3: Cross multiply
    202.89x = 304.38 × 121.76
  4. Step 4: Simplify right side
    202.89x = 37,059.79
  5. Step 5: Solve for x
    x = 37,059.79/202.89
  6. Step 6: Final answer
    x = 182.66

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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.