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Finding the Fourth Proportional to 301.11, 451.80 and 138.93

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Solution

The fourth proportional to 301.11, 451.80 and 138.93 is: 208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.11 : 451.80 = 138.93 : x
  2. Step 2: Convert to fraction form
    301.11/451.80 = 138.93/x
  3. Step 3: Cross multiply
    301.11x = 451.80 × 138.93
  4. Step 4: Simplify right side
    301.11x = 62,768.57
  5. Step 5: Solve for x
    x = 62,768.57/301.11
  6. Step 6: Final answer
    x = 208.46

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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.