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Finding the Fourth Proportional to 202.89, 304.28 and 94.57

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Solution

The fourth proportional to 202.89, 304.28 and 94.57 is: 141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 304.28 = 94.57 : x
  2. Step 2: Convert to fraction form
    202.89/304.28 = 94.57/x
  3. Step 3: Cross multiply
    202.89x = 304.28 × 94.57
  4. Step 4: Simplify right side
    202.89x = 28,775.76
  5. Step 5: Solve for x
    x = 28,775.76/202.89
  6. Step 6: Final answer
    x = 141.83

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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.