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Finding the Fourth Proportional to 201.99, 302.69 and 140.23

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Solution

The fourth proportional to 201.99, 302.69 and 140.23 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 302.69 = 140.23 : x
  2. Step 2: Convert to fraction form
    201.99/302.69 = 140.23/x
  3. Step 3: Cross multiply
    201.99x = 302.69 × 140.23
  4. Step 4: Simplify right side
    201.99x = 42,446.22
  5. Step 5: Solve for x
    x = 42,446.22/201.99
  6. Step 6: Final answer
    x = 210.14

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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.