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Finding the Fourth Proportional to 241.98, 362.79 and 164.73

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Solution

The fourth proportional to 241.98, 362.79 and 164.73 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.98 : 362.79 = 164.73 : x
  2. Step 2: Convert to fraction form
    241.98/362.79 = 164.73/x
  3. Step 3: Cross multiply
    241.98x = 362.79 × 164.73
  4. Step 4: Simplify right side
    241.98x = 59,762.40
  5. Step 5: Solve for x
    x = 59,762.40/241.98
  6. Step 6: Final answer
    x = 246.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.