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Finding the Fourth Proportional to 301.89, 416.61 and 185.46

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Solution

The fourth proportional to 301.89, 416.61 and 185.46 is: 255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.89 : 416.61 = 185.46 : x
  2. Step 2: Convert to fraction form
    301.89/416.61 = 185.46/x
  3. Step 3: Cross multiply
    301.89x = 416.61 × 185.46
  4. Step 4: Simplify right side
    301.89x = 77,264.49
  5. Step 5: Solve for x
    x = 77,264.49/301.89
  6. Step 6: Final answer
    x = 255.94

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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.