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Finding the Fourth Proportional to 301.97, 416.82 and 183.95

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Solution

The fourth proportional to 301.97, 416.82 and 183.95 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.97 : 416.82 = 183.95 : x
  2. Step 2: Convert to fraction form
    301.97/416.82 = 183.95/x
  3. Step 3: Cross multiply
    301.97x = 416.82 × 183.95
  4. Step 4: Simplify right side
    301.97x = 76,674.04
  5. Step 5: Solve for x
    x = 76,674.04/301.97
  6. Step 6: Final answer
    x = 253.91

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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.