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Finding the Fourth Proportional to 222.01, 306.39 and 166.64

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Solution

The fourth proportional to 222.01, 306.39 and 166.64 is: 229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.01 : 306.39 = 166.64 : x
  2. Step 2: Convert to fraction form
    222.01/306.39 = 166.64/x
  3. Step 3: Cross multiply
    222.01x = 306.39 × 166.64
  4. Step 4: Simplify right side
    222.01x = 51,056.83
  5. Step 5: Solve for x
    x = 51,056.83/222.01
  6. Step 6: Final answer
    x = 229.98

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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.