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Finding the Fourth Proportional to 202.83, 280.31 and 165.93

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Solution

The fourth proportional to 202.83, 280.31 and 165.93 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 280.31 = 165.93 : x
  2. Step 2: Convert to fraction form
    202.83/280.31 = 165.93/x
  3. Step 3: Cross multiply
    202.83x = 280.31 × 165.93
  4. Step 4: Simplify right side
    202.83x = 46,511.01
  5. Step 5: Solve for x
    x = 46,511.01/202.83
  6. Step 6: Final answer
    x = 229.31

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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.