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Finding the Fourth Proportional to 201.90, 304.37 and 181.02

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Solution

The fourth proportional to 201.90, 304.37 and 181.02 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 304.37 = 181.02 : x
  2. Step 2: Convert to fraction form
    201.90/304.37 = 181.02/x
  3. Step 3: Cross multiply
    201.90x = 304.37 × 181.02
  4. Step 4: Simplify right side
    201.90x = 55,096.15
  5. Step 5: Solve for x
    x = 55,096.15/201.90
  6. Step 6: Final answer
    x = 272.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.