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Finding the Fourth Proportional to 203.24, 280.86 and 164.36

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Solution

The fourth proportional to 203.24, 280.86 and 164.36 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 280.86 = 164.36 : x
  2. Step 2: Convert to fraction form
    203.24/280.86 = 164.36/x
  3. Step 3: Cross multiply
    203.24x = 280.86 × 164.36
  4. Step 4: Simplify right side
    203.24x = 46,162.15
  5. Step 5: Solve for x
    x = 46,162.15/203.24
  6. Step 6: Final answer
    x = 227.13

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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.