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Finding the Fourth Proportional to 213.64, 295.12 and 165.14

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Solution

The fourth proportional to 213.64, 295.12 and 165.14 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 295.12 = 165.14 : x
  2. Step 2: Convert to fraction form
    213.64/295.12 = 165.14/x
  3. Step 3: Cross multiply
    213.64x = 295.12 × 165.14
  4. Step 4: Simplify right side
    213.64x = 48,735.49
  5. Step 5: Solve for x
    x = 48,735.49/213.64
  6. Step 6: Final answer
    x = 228.12

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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.