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Finding the Fourth Proportional to 241.58, 364.16 and 201.27

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Solution

The fourth proportional to 241.58, 364.16 and 201.27 is: 303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.58 : 364.16 = 201.27 : x
  2. Step 2: Convert to fraction form
    241.58/364.16 = 201.27/x
  3. Step 3: Cross multiply
    241.58x = 364.16 × 201.27
  4. Step 4: Simplify right side
    241.58x = 73,293.48
  5. Step 5: Solve for x
    x = 73,293.48/241.58
  6. Step 6: Final answer
    x = 303.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.