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Finding the Fourth Proportional to 241.94, 334.05 and 148.81

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Solution

The fourth proportional to 241.94, 334.05 and 148.81 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 334.05 = 148.81 : x
  2. Step 2: Convert to fraction form
    241.94/334.05 = 148.81/x
  3. Step 3: Cross multiply
    241.94x = 334.05 × 148.81
  4. Step 4: Simplify right side
    241.94x = 49,708.27
  5. Step 5: Solve for x
    x = 49,708.27/241.94
  6. Step 6: Final answer
    x = 205.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.