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Finding the Fourth Proportional to 201.87, 302.59 and 86.39

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Solution

The fourth proportional to 201.87, 302.59 and 86.39 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.87 : 302.59 = 86.39 : x
  2. Step 2: Convert to fraction form
    201.87/302.59 = 86.39/x
  3. Step 3: Cross multiply
    201.87x = 302.59 × 86.39
  4. Step 4: Simplify right side
    201.87x = 26,139.07
  5. Step 5: Solve for x
    x = 26,139.07/201.87
  6. Step 6: Final answer
    x = 129.48

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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.