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Finding the Fourth Proportional to 241.07, 332.67 and 137.57

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Solution

The fourth proportional to 241.07, 332.67 and 137.57 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.07 : 332.67 = 137.57 : x
  2. Step 2: Convert to fraction form
    241.07/332.67 = 137.57/x
  3. Step 3: Cross multiply
    241.07x = 332.67 × 137.57
  4. Step 4: Simplify right side
    241.07x = 45,765.41
  5. Step 5: Solve for x
    x = 45,765.41/241.07
  6. Step 6: Final answer
    x = 189.84

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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.