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Finding the Fourth Proportional to 191.75, 264.35 and 165.49

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Solution

The fourth proportional to 191.75, 264.35 and 165.49 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.75 : 264.35 = 165.49 : x
  2. Step 2: Convert to fraction form
    191.75/264.35 = 165.49/x
  3. Step 3: Cross multiply
    191.75x = 264.35 × 165.49
  4. Step 4: Simplify right side
    191.75x = 43,747.28
  5. Step 5: Solve for x
    x = 43,747.28/191.75
  6. Step 6: Final answer
    x = 228.15

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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.