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Finding the Fourth Proportional to 203.25, 304.90 and 81.51

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Solution

The fourth proportional to 203.25, 304.90 and 81.51 is: 122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.25 : 304.90 = 81.51 : x
  2. Step 2: Convert to fraction form
    203.25/304.90 = 81.51/x
  3. Step 3: Cross multiply
    203.25x = 304.90 × 81.51
  4. Step 4: Simplify right side
    203.25x = 24,852.40
  5. Step 5: Solve for x
    x = 24,852.40/203.25
  6. Step 6: Final answer
    x = 122.28

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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.