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Finding the Fourth Proportional to 201.91, 302.94 and 105.70

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Solution

The fourth proportional to 201.91, 302.94 and 105.70 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.91 : 302.94 = 105.70 : x
  2. Step 2: Convert to fraction form
    201.91/302.94 = 105.70/x
  3. Step 3: Cross multiply
    201.91x = 302.94 × 105.70
  4. Step 4: Simplify right side
    201.91x = 32,020.76
  5. Step 5: Solve for x
    x = 32,020.76/201.91
  6. Step 6: Final answer
    x = 158.59

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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.