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Finding the Fourth Proportional to 202.95, 304.50 and 81.24

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Solution

The fourth proportional to 202.95, 304.50 and 81.24 is: 121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 304.50 = 81.24 : x
  2. Step 2: Convert to fraction form
    202.95/304.50 = 81.24/x
  3. Step 3: Cross multiply
    202.95x = 304.50 × 81.24
  4. Step 4: Simplify right side
    202.95x = 24,737.58
  5. Step 5: Solve for x
    x = 24,737.58/202.95
  6. Step 6: Final answer
    x = 121.89

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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.