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Finding the Fourth Proportional to 320.76, 441.96 and 222.32

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Solution

The fourth proportional to 320.76, 441.96 and 222.32 is: 306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.76 : 441.96 = 222.32 : x
  2. Step 2: Convert to fraction form
    320.76/441.96 = 222.32/x
  3. Step 3: Cross multiply
    320.76x = 441.96 × 222.32
  4. Step 4: Simplify right side
    320.76x = 98,256.55
  5. Step 5: Solve for x
    x = 98,256.55/320.76
  6. Step 6: Final answer
    x = 306.32

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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.