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Finding the Fourth Proportional to 217.94, 300.59 and 165.50

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Solution

The fourth proportional to 217.94, 300.59 and 165.50 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 300.59 = 165.50 : x
  2. Step 2: Convert to fraction form
    217.94/300.59 = 165.50/x
  3. Step 3: Cross multiply
    217.94x = 300.59 × 165.50
  4. Step 4: Simplify right side
    217.94x = 49,745.31
  5. Step 5: Solve for x
    x = 49,745.31/217.94
  6. Step 6: Final answer
    x = 228.25

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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.