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Finding the Fourth Proportional to 201.24, 302.00 and 91.51

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Solution

The fourth proportional to 201.24, 302.00 and 91.51 is: 137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 302.00 = 91.51 : x
  2. Step 2: Convert to fraction form
    201.24/302.00 = 91.51/x
  3. Step 3: Cross multiply
    201.24x = 302.00 × 91.51
  4. Step 4: Simplify right side
    201.24x = 27,634.81
  5. Step 5: Solve for x
    x = 27,634.81/201.24
  6. Step 6: Final answer
    x = 137.32

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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.