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Finding the Fourth Proportional to 301.52, 415.67 and 208.12

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Solution

The fourth proportional to 301.52, 415.67 and 208.12 is: 286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 415.67 = 208.12 : x
  2. Step 2: Convert to fraction form
    301.52/415.67 = 208.12/x
  3. Step 3: Cross multiply
    301.52x = 415.67 × 208.12
  4. Step 4: Simplify right side
    301.52x = 86,509.24
  5. Step 5: Solve for x
    x = 86,509.24/301.52
  6. Step 6: Final answer
    x = 286.91

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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.