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Finding the Fourth Proportional to 203.50, 304.54 and 166.51

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Solution

The fourth proportional to 203.50, 304.54 and 166.51 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 304.54 = 166.51 : x
  2. Step 2: Convert to fraction form
    203.50/304.54 = 166.51/x
  3. Step 3: Cross multiply
    203.50x = 304.54 × 166.51
  4. Step 4: Simplify right side
    203.50x = 50,709.37
  5. Step 5: Solve for x
    x = 50,709.37/203.50
  6. Step 6: Final answer
    x = 249.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.