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Finding the Fourth Proportional to 149.94, 223.83 and 146.28

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Solution

The fourth proportional to 149.94, 223.83 and 146.28 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.94 : 223.83 = 146.28 : x
  2. Step 2: Convert to fraction form
    149.94/223.83 = 146.28/x
  3. Step 3: Cross multiply
    149.94x = 223.83 × 146.28
  4. Step 4: Simplify right side
    149.94x = 32,741.85
  5. Step 5: Solve for x
    x = 32,741.85/149.94
  6. Step 6: Final answer
    x = 218.37

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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.