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Finding the Fourth Proportional to 213.87, 295.10 and 164.14

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Solution

The fourth proportional to 213.87, 295.10 and 164.14 is: 226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 295.10 = 164.14 : x
  2. Step 2: Convert to fraction form
    213.87/295.10 = 164.14/x
  3. Step 3: Cross multiply
    213.87x = 295.10 × 164.14
  4. Step 4: Simplify right side
    213.87x = 48,436.77
  5. Step 5: Solve for x
    x = 48,436.77/213.87
  6. Step 6: Final answer
    x = 226.47

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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.