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Finding the Fourth Proportional to 201.93, 302.94 and 104.46

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Solution

The fourth proportional to 201.93, 302.94 and 104.46 is: 156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.93 : 302.94 = 104.46 : x
  2. Step 2: Convert to fraction form
    201.93/302.94 = 104.46/x
  3. Step 3: Cross multiply
    201.93x = 302.94 × 104.46
  4. Step 4: Simplify right side
    201.93x = 31,645.11
  5. Step 5: Solve for x
    x = 31,645.11/201.93
  6. Step 6: Final answer
    x = 156.71

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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.