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Finding the Fourth Proportional to 213.85, 295.14 and 164.71

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Solution

The fourth proportional to 213.85, 295.14 and 164.71 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 295.14 = 164.71 : x
  2. Step 2: Convert to fraction form
    213.85/295.14 = 164.71/x
  3. Step 3: Cross multiply
    213.85x = 295.14 × 164.71
  4. Step 4: Simplify right side
    213.85x = 48,612.51
  5. Step 5: Solve for x
    x = 48,612.51/213.85
  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.