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Finding the Fourth Proportional to 241.63, 364.64 and 233.49

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Solution

The fourth proportional to 241.63, 364.64 and 233.49 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.63 : 364.64 = 233.49 : x
  2. Step 2: Convert to fraction form
    241.63/364.64 = 233.49/x
  3. Step 3: Cross multiply
    241.63x = 364.64 × 233.49
  4. Step 4: Simplify right side
    241.63x = 85,139.79
  5. Step 5: Solve for x
    x = 85,139.79/241.63
  6. Step 6: Final answer
    x = 352.36

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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.