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Finding the Fourth Proportional to 194.86, 268.52 and 165.70

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Solution

The fourth proportional to 194.86, 268.52 and 165.70 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.86 : 268.52 = 165.70 : x
  2. Step 2: Convert to fraction form
    194.86/268.52 = 165.70/x
  3. Step 3: Cross multiply
    194.86x = 268.52 × 165.70
  4. Step 4: Simplify right side
    194.86x = 44,493.76
  5. Step 5: Solve for x
    x = 44,493.76/194.86
  6. Step 6: Final answer
    x = 228.34

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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.