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Finding the Fourth Proportional to 307.92, 424.97 and 224.99

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Solution

The fourth proportional to 307.92, 424.97 and 224.99 is: 310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 424.97 = 224.99 : x
  2. Step 2: Convert to fraction form
    307.92/424.97 = 224.99/x
  3. Step 3: Cross multiply
    307.92x = 424.97 × 224.99
  4. Step 4: Simplify right side
    307.92x = 95,611.84
  5. Step 5: Solve for x
    x = 95,611.84/307.92
  6. Step 6: Final answer
    x = 310.51

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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.