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Finding the Fourth Proportional to 222.98, 307.51 and 164.03

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Solution

The fourth proportional to 222.98, 307.51 and 164.03 is: 226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 307.51 = 164.03 : x
  2. Step 2: Convert to fraction form
    222.98/307.51 = 164.03/x
  3. Step 3: Cross multiply
    222.98x = 307.51 × 164.03
  4. Step 4: Simplify right side
    222.98x = 50,439.15
  5. Step 5: Solve for x
    x = 50,439.15/222.98
  6. Step 6: Final answer
    x = 226.20

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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.