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Finding the Fourth Proportional to 202.92, 279.66 and 165.96

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Solution

The fourth proportional to 202.92, 279.66 and 165.96 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 279.66 = 165.96 : x
  2. Step 2: Convert to fraction form
    202.92/279.66 = 165.96/x
  3. Step 3: Cross multiply
    202.92x = 279.66 × 165.96
  4. Step 4: Simplify right side
    202.92x = 46,412.37
  5. Step 5: Solve for x
    x = 46,412.37/202.92
  6. Step 6: Final answer
    x = 228.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.