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Finding the Fourth Proportional to 201.55, 302.43 and 85.99

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Solution

The fourth proportional to 201.55, 302.43 and 85.99 is: 129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.55 : 302.43 = 85.99 : x
  2. Step 2: Convert to fraction form
    201.55/302.43 = 85.99/x
  3. Step 3: Cross multiply
    201.55x = 302.43 × 85.99
  4. Step 4: Simplify right side
    201.55x = 26,005.24
  5. Step 5: Solve for x
    x = 26,005.24/201.55
  6. Step 6: Final answer
    x = 129.03

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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.