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Finding the Fourth Proportional to 307.06, 460.32 and 226.24

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Solution

The fourth proportional to 307.06, 460.32 and 226.24 is: 339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.06 : 460.32 = 226.24 : x
  2. Step 2: Convert to fraction form
    307.06/460.32 = 226.24/x
  3. Step 3: Cross multiply
    307.06x = 460.32 × 226.24
  4. Step 4: Simplify right side
    307.06x = 104,142.80
  5. Step 5: Solve for x
    x = 104,142.80/307.06
  6. Step 6: Final answer
    x = 339.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.