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Finding the Fourth Proportional to 363.36, 501.48 and 208.14

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Solution

The fourth proportional to 363.36, 501.48 and 208.14 is: 287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.36 : 501.48 = 208.14 : x
  2. Step 2: Convert to fraction form
    363.36/501.48 = 208.14/x
  3. Step 3: Cross multiply
    363.36x = 501.48 × 208.14
  4. Step 4: Simplify right side
    363.36x = 104,378.05
  5. Step 5: Solve for x
    x = 104,378.05/363.36
  6. Step 6: Final answer
    x = 287.26

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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.