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Finding the Fourth Proportional to 146.90, 218.90 and 140.36

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Solution

The fourth proportional to 146.90, 218.90 and 140.36 is: 209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.90 : 218.90 = 140.36 : x
  2. Step 2: Convert to fraction form
    146.90/218.90 = 140.36/x
  3. Step 3: Cross multiply
    146.90x = 218.90 × 140.36
  4. Step 4: Simplify right side
    146.90x = 30,724.80
  5. Step 5: Solve for x
    x = 30,724.80/146.90
  6. Step 6: Final answer
    x = 209.15

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Why These Related Problems?

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