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Finding the Fourth Proportional to 201.05, 301.10 and 172.00

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Solution

The fourth proportional to 201.05, 301.10 and 172.00 is: 257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.05 : 301.10 = 172.00 : x
  2. Step 2: Convert to fraction form
    201.05/301.10 = 172.00/x
  3. Step 3: Cross multiply
    201.05x = 301.10 × 172.00
  4. Step 4: Simplify right side
    201.05x = 51,788.88
  5. Step 5: Solve for x
    x = 51,788.88/201.05
  6. Step 6: Final answer
    x = 257.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.