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Finding the Fourth Proportional to 201.36, 302.04 and 57.08

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Solution

The fourth proportional to 201.36, 302.04 and 57.08 is: 85.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 302.04 = 57.08 : x
  2. Step 2: Convert to fraction form
    201.36/302.04 = 57.08/x
  3. Step 3: Cross multiply
    201.36x = 302.04 × 57.08
  4. Step 4: Simplify right side
    201.36x = 17,239.99
  5. Step 5: Solve for x
    x = 17,239.99/201.36
  6. Step 6: Final answer
    x = 85.62

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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.