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Finding the Fourth Proportional to 284.99, 393.44 and 222.68

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Solution

The fourth proportional to 284.99, 393.44 and 222.68 is: 307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 393.44 = 222.68 : x
  2. Step 2: Convert to fraction form
    284.99/393.44 = 222.68/x
  3. Step 3: Cross multiply
    284.99x = 393.44 × 222.68
  4. Step 4: Simplify right side
    284.99x = 87,610.11
  5. Step 5: Solve for x
    x = 87,610.11/284.99
  6. Step 6: Final answer
    x = 307.41

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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.