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Finding the Fourth Proportional to 241.49, 333.05 and 166.77

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Solution

The fourth proportional to 241.49, 333.05 and 166.77 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.49 : 333.05 = 166.77 : x
  2. Step 2: Convert to fraction form
    241.49/333.05 = 166.77/x
  3. Step 3: Cross multiply
    241.49x = 333.05 × 166.77
  4. Step 4: Simplify right side
    241.49x = 55,542.75
  5. Step 5: Solve for x
    x = 55,542.75/241.49
  6. Step 6: Final answer
    x = 230.00

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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.