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Finding the Fourth Proportional to 146.66, 218.50 and 140.45

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Solution

The fourth proportional to 146.66, 218.50 and 140.45 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 218.50 = 140.45 : x
  2. Step 2: Convert to fraction form
    146.66/218.50 = 140.45/x
  3. Step 3: Cross multiply
    146.66x = 218.50 × 140.45
  4. Step 4: Simplify right side
    146.66x = 30,688.33
  5. Step 5: Solve for x
    x = 30,688.33/146.66
  6. Step 6: Final answer
    x = 209.25

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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.