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Finding the Fourth Proportional to 203.16, 304.77 and 81.41

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Solution

The fourth proportional to 203.16, 304.77 and 81.41 is: 122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.16 : 304.77 = 81.41 : x
  2. Step 2: Convert to fraction form
    203.16/304.77 = 81.41/x
  3. Step 3: Cross multiply
    203.16x = 304.77 × 81.41
  4. Step 4: Simplify right side
    203.16x = 24,809.80
  5. Step 5: Solve for x
    x = 24,809.80/203.16
  6. Step 6: Final answer
    x = 122.12

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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.