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Finding the Fourth Proportional to 241.94, 333.86 and 154.64

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Solution

The fourth proportional to 241.94, 333.86 and 154.64 is: 213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 333.86 = 154.64 : x
  2. Step 2: Convert to fraction form
    241.94/333.86 = 154.64/x
  3. Step 3: Cross multiply
    241.94x = 333.86 × 154.64
  4. Step 4: Simplify right side
    241.94x = 51,628.11
  5. Step 5: Solve for x
    x = 51,628.11/241.94
  6. Step 6: Final answer
    x = 213.39

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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.