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Finding the Fourth Proportional to 140.73, 210.08 and 122.50

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Solution

The fourth proportional to 140.73, 210.08 and 122.50 is: 182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 210.08 = 122.50 : x
  2. Step 2: Convert to fraction form
    140.73/210.08 = 122.50/x
  3. Step 3: Cross multiply
    140.73x = 210.08 × 122.50
  4. Step 4: Simplify right side
    140.73x = 25,735.11
  5. Step 5: Solve for x
    x = 25,735.11/140.73
  6. Step 6: Final answer
    x = 182.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.