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Finding the Fourth Proportional to 201.24, 302.02 and 105.08

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Solution

The fourth proportional to 201.24, 302.02 and 105.08 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 302.02 = 105.08 : x
  2. Step 2: Convert to fraction form
    201.24/302.02 = 105.08/x
  3. Step 3: Cross multiply
    201.24x = 302.02 × 105.08
  4. Step 4: Simplify right side
    201.24x = 31,736.26
  5. Step 5: Solve for x
    x = 31,736.26/201.24
  6. Step 6: Final answer
    x = 157.70

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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.