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Finding the Fourth Proportional to 241.32, 333.02 and 137.82

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Solution

The fourth proportional to 241.32, 333.02 and 137.82 is: 190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 333.02 = 137.82 : x
  2. Step 2: Convert to fraction form
    241.32/333.02 = 137.82/x
  3. Step 3: Cross multiply
    241.32x = 333.02 × 137.82
  4. Step 4: Simplify right side
    241.32x = 45,896.13
  5. Step 5: Solve for x
    x = 45,896.13/241.32
  6. Step 6: Final answer
    x = 190.19

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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.