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Finding the Fourth Proportional to 222.05, 332.72 and 164.19

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Solution

The fourth proportional to 222.05, 332.72 and 164.19 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.05 : 332.72 = 164.19 : x
  2. Step 2: Convert to fraction form
    222.05/332.72 = 164.19/x
  3. Step 3: Cross multiply
    222.05x = 332.72 × 164.19
  4. Step 4: Simplify right side
    222.05x = 54,630.34
  5. Step 5: Solve for x
    x = 54,630.34/222.05
  6. Step 6: Final answer
    x = 246.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.