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Finding the Fourth Proportional to 214.22, 295.76 and 164.34

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Solution

The fourth proportional to 214.22, 295.76 and 164.34 is: 226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 295.76 = 164.34 : x
  2. Step 2: Convert to fraction form
    214.22/295.76 = 164.34/x
  3. Step 3: Cross multiply
    214.22x = 295.76 × 164.34
  4. Step 4: Simplify right side
    214.22x = 48,604.81
  5. Step 5: Solve for x
    x = 48,604.81/214.22
  6. Step 6: Final answer
    x = 226.90

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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.