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Finding the Fourth Proportional to 140.50, 210.82 and 122.25

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Solution

The fourth proportional to 140.50, 210.82 and 122.25 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.50 : 210.82 = 122.25 : x
  2. Step 2: Convert to fraction form
    140.50/210.82 = 122.25/x
  3. Step 3: Cross multiply
    140.50x = 210.82 × 122.25
  4. Step 4: Simplify right side
    140.50x = 25,772.75
  5. Step 5: Solve for x
    x = 25,772.75/140.50
  6. Step 6: Final answer
    x = 183.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.