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Finding the Fourth Proportional to 222.18, 334.56 and 164.81

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Solution

The fourth proportional to 222.18, 334.56 and 164.81 is: 248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.18 : 334.56 = 164.81 : x
  2. Step 2: Convert to fraction form
    222.18/334.56 = 164.81/x
  3. Step 3: Cross multiply
    222.18x = 334.56 × 164.81
  4. Step 4: Simplify right side
    222.18x = 55,138.83
  5. Step 5: Solve for x
    x = 55,138.83/222.18
  6. Step 6: Final answer
    x = 248.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.