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Finding the Fourth Proportional to 301.34, 416 and 208.12

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Solution

The fourth proportional to 301.34, 416 and 208.12 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.34 : 416 = 208.12 : x
  2. Step 2: Convert to fraction form
    301.34/416 = 208.12/x
  3. Step 3: Cross multiply
    301.34x = 416 × 208.12
  4. Step 4: Simplify right side
    301.34x = 86,577.92
  5. Step 5: Solve for x
    x = 86,577.92/301.34
  6. Step 6: Final answer
    x = 287.31

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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.