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Finding the Fourth Proportional to 202.09, 278.97 and 165.64

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Solution

The fourth proportional to 202.09, 278.97 and 165.64 is: 228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.09 : 278.97 = 165.64 : x
  2. Step 2: Convert to fraction form
    202.09/278.97 = 165.64/x
  3. Step 3: Cross multiply
    202.09x = 278.97 × 165.64
  4. Step 4: Simplify right side
    202.09x = 46,208.59
  5. Step 5: Solve for x
    x = 46,208.59/202.09
  6. Step 6: Final answer
    x = 228.65

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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.