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Finding the Fourth Proportional to 201.58, 302.21 and 87.66

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Solution

The fourth proportional to 201.58, 302.21 and 87.66 is: 131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 302.21 = 87.66 : x
  2. Step 2: Convert to fraction form
    201.58/302.21 = 87.66/x
  3. Step 3: Cross multiply
    201.58x = 302.21 × 87.66
  4. Step 4: Simplify right side
    201.58x = 26,491.73
  5. Step 5: Solve for x
    x = 26,491.73/201.58
  6. Step 6: Final answer
    x = 131.42

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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.