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Finding the Fourth Proportional to 201.40, 302.46 and 140.65

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Solution

The fourth proportional to 201.40, 302.46 and 140.65 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.40 : 302.46 = 140.65 : x
  2. Step 2: Convert to fraction form
    201.40/302.46 = 140.65/x
  3. Step 3: Cross multiply
    201.40x = 302.46 × 140.65
  4. Step 4: Simplify right side
    201.40x = 42,541.00
  5. Step 5: Solve for x
    x = 42,541.00/201.40
  6. Step 6: Final answer
    x = 211.23

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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.