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Finding the Fourth Proportional to 320.90, 443.16 and 266.22

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Solution

The fourth proportional to 320.90, 443.16 and 266.22 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.90 : 443.16 = 266.22 : x
  2. Step 2: Convert to fraction form
    320.90/443.16 = 266.22/x
  3. Step 3: Cross multiply
    320.90x = 443.16 × 266.22
  4. Step 4: Simplify right side
    320.90x = 117,978.06
  5. Step 5: Solve for x
    x = 117,978.06/320.90
  6. Step 6: Final answer
    x = 367.65

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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.