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Finding the Fourth Proportional to 201.83, 302.69 and 129.16

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Solution

The fourth proportional to 201.83, 302.69 and 129.16 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.83 : 302.69 = 129.16 : x
  2. Step 2: Convert to fraction form
    201.83/302.69 = 129.16/x
  3. Step 3: Cross multiply
    201.83x = 302.69 × 129.16
  4. Step 4: Simplify right side
    201.83x = 39,095.44
  5. Step 5: Solve for x
    x = 39,095.44/201.83
  6. Step 6: Final answer
    x = 193.70

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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.