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Finding the Fourth Proportional to 222.42, 307.08 and 164.10

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Solution

The fourth proportional to 222.42, 307.08 and 164.10 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.42 : 307.08 = 164.10 : x
  2. Step 2: Convert to fraction form
    222.42/307.08 = 164.10/x
  3. Step 3: Cross multiply
    222.42x = 307.08 × 164.10
  4. Step 4: Simplify right side
    222.42x = 50,391.83
  5. Step 5: Solve for x
    x = 50,391.83/222.42
  6. Step 6: Final answer
    x = 226.56

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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.