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Finding the Fourth Proportional to 201.46, 302.30 and 85.98

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Solution

The fourth proportional to 201.46, 302.30 and 85.98 is: 129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.46 : 302.30 = 85.98 : x
  2. Step 2: Convert to fraction form
    201.46/302.30 = 85.98/x
  3. Step 3: Cross multiply
    201.46x = 302.30 × 85.98
  4. Step 4: Simplify right side
    201.46x = 25,991.75
  5. Step 5: Solve for x
    x = 25,991.75/201.46
  6. Step 6: Final answer
    x = 129.02

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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.