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Finding the Fourth Proportional to 149.93, 223.38 and 142.08

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Solution

The fourth proportional to 149.93, 223.38 and 142.08 is: 211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 223.38 = 142.08 : x
  2. Step 2: Convert to fraction form
    149.93/223.38 = 142.08/x
  3. Step 3: Cross multiply
    149.93x = 223.38 × 142.08
  4. Step 4: Simplify right side
    149.93x = 31,738.02
  5. Step 5: Solve for x
    x = 31,738.02/149.93
  6. Step 6: Final answer
    x = 211.69

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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.