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Finding the Fourth Proportional to 194.83, 269.16 and 145.62

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Solution

The fourth proportional to 194.83, 269.16 and 145.62 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 269.16 = 145.62 : x
  2. Step 2: Convert to fraction form
    194.83/269.16 = 145.62/x
  3. Step 3: Cross multiply
    194.83x = 269.16 × 145.62
  4. Step 4: Simplify right side
    194.83x = 39,195.08
  5. Step 5: Solve for x
    x = 39,195.08/194.83
  6. Step 6: Final answer
    x = 201.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.