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Finding the Fourth Proportional to 201.06, 301.77 and 140.58

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Solution

The fourth proportional to 201.06, 301.77 and 140.58 is: 211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 301.77 = 140.58 : x
  2. Step 2: Convert to fraction form
    201.06/301.77 = 140.58/x
  3. Step 3: Cross multiply
    201.06x = 301.77 × 140.58
  4. Step 4: Simplify right side
    201.06x = 42,422.83
  5. Step 5: Solve for x
    x = 42,422.83/201.06
  6. Step 6: Final answer
    x = 211.00

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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.