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Finding the Fourth Proportional to 241.72, 364.33 and 228.52

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Solution

The fourth proportional to 241.72, 364.33 and 228.52 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.72 : 364.33 = 228.52 : x
  2. Step 2: Convert to fraction form
    241.72/364.33 = 228.52/x
  3. Step 3: Cross multiply
    241.72x = 364.33 × 228.52
  4. Step 4: Simplify right side
    241.72x = 83,256.69
  5. Step 5: Solve for x
    x = 83,256.69/241.72
  6. Step 6: Final answer
    x = 344.43

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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.