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Finding the Fourth Proportional to 249.63, 344.28 and 166.77

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Solution

The fourth proportional to 249.63, 344.28 and 166.77 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.63 : 344.28 = 166.77 : x
  2. Step 2: Convert to fraction form
    249.63/344.28 = 166.77/x
  3. Step 3: Cross multiply
    249.63x = 344.28 × 166.77
  4. Step 4: Simplify right side
    249.63x = 57,415.58
  5. Step 5: Solve for x
    x = 57,415.58/249.63
  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.