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Finding the Fourth Proportional to 320.09, 441.45 and 222.08

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Solution

The fourth proportional to 320.09, 441.45 and 222.08 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 441.45 = 222.08 : x
  2. Step 2: Convert to fraction form
    320.09/441.45 = 222.08/x
  3. Step 3: Cross multiply
    320.09x = 441.45 × 222.08
  4. Step 4: Simplify right side
    320.09x = 98,035.01
  5. Step 5: Solve for x
    x = 98,035.01/320.09
  6. Step 6: Final answer
    x = 306.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.