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Finding the Fourth Proportional to 201.18, 302.90 and 147.44

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Solution

The fourth proportional to 201.18, 302.90 and 147.44 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 302.90 = 147.44 : x
  2. Step 2: Convert to fraction form
    201.18/302.90 = 147.44/x
  3. Step 3: Cross multiply
    201.18x = 302.90 × 147.44
  4. Step 4: Simplify right side
    201.18x = 44,659.58
  5. Step 5: Solve for x
    x = 44,659.58/201.18
  6. Step 6: Final answer
    x = 221.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.