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Finding the Fourth Proportional to 222.23, 306.64 and 189.16

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Solution

The fourth proportional to 222.23, 306.64 and 189.16 is: 261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.23 : 306.64 = 189.16 : x
  2. Step 2: Convert to fraction form
    222.23/306.64 = 189.16/x
  3. Step 3: Cross multiply
    222.23x = 306.64 × 189.16
  4. Step 4: Simplify right side
    222.23x = 58,003.29
  5. Step 5: Solve for x
    x = 58,003.29/222.23
  6. Step 6: Final answer
    x = 261.00

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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.