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Finding the Fourth Proportional to 301.08, 451.62 and 138.95

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Solution

The fourth proportional to 301.08, 451.62 and 138.95 is: 208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 451.62 = 138.95 : x
  2. Step 2: Convert to fraction form
    301.08/451.62 = 138.95/x
  3. Step 3: Cross multiply
    301.08x = 451.62 × 138.95
  4. Step 4: Simplify right side
    301.08x = 62,752.60
  5. Step 5: Solve for x
    x = 62,752.60/301.08
  6. Step 6: Final answer
    x = 208.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.