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Finding the Fourth Proportional to 200.41, 300.15 and 113.60

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Solution

The fourth proportional to 200.41, 300.15 and 113.60 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 300.15 = 113.60 : x
  2. Step 2: Convert to fraction form
    200.41/300.15 = 113.60/x
  3. Step 3: Cross multiply
    200.41x = 300.15 × 113.60
  4. Step 4: Simplify right side
    200.41x = 34,097.04
  5. Step 5: Solve for x
    x = 34,097.04/200.41
  6. Step 6: Final answer
    x = 170.14

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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.