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Finding the Fourth Proportional to 222.64, 306.82 and 160.36

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Solution

The fourth proportional to 222.64, 306.82 and 160.36 is: 220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 306.82 = 160.36 : x
  2. Step 2: Convert to fraction form
    222.64/306.82 = 160.36/x
  3. Step 3: Cross multiply
    222.64x = 306.82 × 160.36
  4. Step 4: Simplify right side
    222.64x = 49,201.66
  5. Step 5: Solve for x
    x = 49,201.66/222.64
  6. Step 6: Final answer
    x = 220.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.