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Finding the Fourth Proportional to 301.98, 416.44 and 183.97

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Solution

The fourth proportional to 301.98, 416.44 and 183.97 is: 253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.98 : 416.44 = 183.97 : x
  2. Step 2: Convert to fraction form
    301.98/416.44 = 183.97/x
  3. Step 3: Cross multiply
    301.98x = 416.44 × 183.97
  4. Step 4: Simplify right side
    301.98x = 76,612.47
  5. Step 5: Solve for x
    x = 76,612.47/301.98
  6. Step 6: Final answer
    x = 253.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.