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Finding the Fourth Proportional to 201.12, 302.40 and 190.26

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Solution

The fourth proportional to 201.12, 302.40 and 190.26 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 302.40 = 190.26 : x
  2. Step 2: Convert to fraction form
    201.12/302.40 = 190.26/x
  3. Step 3: Cross multiply
    201.12x = 302.40 × 190.26
  4. Step 4: Simplify right side
    201.12x = 57,534.62
  5. Step 5: Solve for x
    x = 57,534.62/201.12
  6. Step 6: Final answer
    x = 286.07

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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.