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Finding the Fourth Proportional to 213.81, 295.16 and 164.67

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Solution

The fourth proportional to 213.81, 295.16 and 164.67 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.81 : 295.16 = 164.67 : x
  2. Step 2: Convert to fraction form
    213.81/295.16 = 164.67/x
  3. Step 3: Cross multiply
    213.81x = 295.16 × 164.67
  4. Step 4: Simplify right side
    213.81x = 48,603.17
  5. Step 5: Solve for x
    x = 48,603.17/213.81
  6. Step 6: Final answer
    x = 227.32

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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.