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Finding the Fourth Proportional to 191.93, 264.76 and 165.81

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Solution

The fourth proportional to 191.93, 264.76 and 165.81 is: 228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.93 : 264.76 = 165.81 : x
  2. Step 2: Convert to fraction form
    191.93/264.76 = 165.81/x
  3. Step 3: Cross multiply
    191.93x = 264.76 × 165.81
  4. Step 4: Simplify right side
    191.93x = 43,899.86
  5. Step 5: Solve for x
    x = 43,899.86/191.93
  6. Step 6: Final answer
    x = 228.73

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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.