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Finding the Fourth Proportional to 203.38, 281.28 and 181.51

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Solution

The fourth proportional to 203.38, 281.28 and 181.51 is: 251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.38 : 281.28 = 181.51 : x
  2. Step 2: Convert to fraction form
    203.38/281.28 = 181.51/x
  3. Step 3: Cross multiply
    203.38x = 281.28 × 181.51
  4. Step 4: Simplify right side
    203.38x = 51,055.13
  5. Step 5: Solve for x
    x = 51,055.13/203.38
  6. Step 6: Final answer
    x = 251.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.