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Finding the Fourth Proportional to 202.63, 280 and 165.77

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Solution

The fourth proportional to 202.63, 280 and 165.77 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.63 : 280 = 165.77 : x
  2. Step 2: Convert to fraction form
    202.63/280 = 165.77/x
  3. Step 3: Cross multiply
    202.63x = 280 × 165.77
  4. Step 4: Simplify right side
    202.63x = 46,415.60
  5. Step 5: Solve for x
    x = 46,415.60/202.63
  6. Step 6: Final answer
    x = 229.07

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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.