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Finding the Fourth Proportional to 201.90, 303.06 and 140.34

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Solution

The fourth proportional to 201.90, 303.06 and 140.34 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 303.06 = 140.34 : x
  2. Step 2: Convert to fraction form
    201.90/303.06 = 140.34/x
  3. Step 3: Cross multiply
    201.90x = 303.06 × 140.34
  4. Step 4: Simplify right side
    201.90x = 42,531.44
  5. Step 5: Solve for x
    x = 42,531.44/201.90
  6. Step 6: Final answer
    x = 210.66

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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.