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Finding the Fourth Proportional to 320.12, 441.83 and 208.23

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Solution

The fourth proportional to 320.12, 441.83 and 208.23 is: 287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.12 : 441.83 = 208.23 : x
  2. Step 2: Convert to fraction form
    320.12/441.83 = 208.23/x
  3. Step 3: Cross multiply
    320.12x = 441.83 × 208.23
  4. Step 4: Simplify right side
    320.12x = 92,001.16
  5. Step 5: Solve for x
    x = 92,001.16/320.12
  6. Step 6: Final answer
    x = 287.40

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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.