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Finding the Fourth Proportional to 222.97, 307.45 and 167.60

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Solution

The fourth proportional to 222.97, 307.45 and 167.60 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.97 : 307.45 = 167.60 : x
  2. Step 2: Convert to fraction form
    222.97/307.45 = 167.60/x
  3. Step 3: Cross multiply
    222.97x = 307.45 × 167.60
  4. Step 4: Simplify right side
    222.97x = 51,528.66
  5. Step 5: Solve for x
    x = 51,528.66/222.97
  6. Step 6: Final answer
    x = 231.10

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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.