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Finding the Fourth Proportional to 241.13, 332.57 and 158.22

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Solution

The fourth proportional to 241.13, 332.57 and 158.22 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 332.57 = 158.22 : x
  2. Step 2: Convert to fraction form
    241.13/332.57 = 158.22/x
  3. Step 3: Cross multiply
    241.13x = 332.57 × 158.22
  4. Step 4: Simplify right side
    241.13x = 52,619.62
  5. Step 5: Solve for x
    x = 52,619.62/241.13
  6. Step 6: Final answer
    x = 218.22

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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.