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Finding the Fourth Proportional to 203.51, 304.96 and 182.81

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Solution

The fourth proportional to 203.51, 304.96 and 182.81 is: 273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.51 : 304.96 = 182.81 : x
  2. Step 2: Convert to fraction form
    203.51/304.96 = 182.81/x
  3. Step 3: Cross multiply
    203.51x = 304.96 × 182.81
  4. Step 4: Simplify right side
    203.51x = 55,749.74
  5. Step 5: Solve for x
    x = 55,749.74/203.51
  6. Step 6: Final answer
    x = 273.94

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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.