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Finding the Fourth Proportional to 231.22, 316.57 and 228.99

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Solution

The fourth proportional to 231.22, 316.57 and 228.99 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.22 : 316.57 = 228.99 : x
  2. Step 2: Convert to fraction form
    231.22/316.57 = 228.99/x
  3. Step 3: Cross multiply
    231.22x = 316.57 × 228.99
  4. Step 4: Simplify right side
    231.22x = 72,491.36
  5. Step 5: Solve for x
    x = 72,491.36/231.22
  6. Step 6: Final answer
    x = 313.52

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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.