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Finding the Fourth Proportional to 301.19, 451.78 and 185.49

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Solution

The fourth proportional to 301.19, 451.78 and 185.49 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.19 : 451.78 = 185.49 : x
  2. Step 2: Convert to fraction form
    301.19/451.78 = 185.49/x
  3. Step 3: Cross multiply
    301.19x = 451.78 × 185.49
  4. Step 4: Simplify right side
    301.19x = 83,800.21
  5. Step 5: Solve for x
    x = 83,800.21/301.19
  6. Step 6: Final answer
    x = 278.24

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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.