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Finding the Fourth Proportional to 231.06, 316.40 and 221.88

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Solution

The fourth proportional to 231.06, 316.40 and 221.88 is: 303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.06 : 316.40 = 221.88 : x
  2. Step 2: Convert to fraction form
    231.06/316.40 = 221.88/x
  3. Step 3: Cross multiply
    231.06x = 316.40 × 221.88
  4. Step 4: Simplify right side
    231.06x = 70,202.83
  5. Step 5: Solve for x
    x = 70,202.83/231.06
  6. Step 6: Final answer
    x = 303.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.