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Finding the Fourth Proportional to 149.93, 226.01 and 140.02

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Solution

The fourth proportional to 149.93, 226.01 and 140.02 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 226.01 = 140.02 : x
  2. Step 2: Convert to fraction form
    149.93/226.01 = 140.02/x
  3. Step 3: Cross multiply
    149.93x = 226.01 × 140.02
  4. Step 4: Simplify right side
    149.93x = 31,644.79
  5. Step 5: Solve for x
    x = 31,644.79/149.93
  6. Step 6: Final answer
    x = 211.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.