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Finding the Fourth Proportional to 334.36, 461.41 and 186.99

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Solution

The fourth proportional to 334.36, 461.41 and 186.99 is: 258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.36 : 461.41 = 186.99 : x
  2. Step 2: Convert to fraction form
    334.36/461.41 = 186.99/x
  3. Step 3: Cross multiply
    334.36x = 461.41 × 186.99
  4. Step 4: Simplify right side
    334.36x = 86,279.06
  5. Step 5: Solve for x
    x = 86,279.06/334.36
  6. Step 6: Final answer
    x = 258.04

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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.