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Finding the Fourth Proportional to 335.63, 463.19 and 186.26

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Solution

The fourth proportional to 335.63, 463.19 and 186.26 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.63 : 463.19 = 186.26 : x
  2. Step 2: Convert to fraction form
    335.63/463.19 = 186.26/x
  3. Step 3: Cross multiply
    335.63x = 463.19 × 186.26
  4. Step 4: Simplify right side
    335.63x = 86,273.66
  5. Step 5: Solve for x
    x = 86,273.66/335.63
  6. Step 6: Final answer
    x = 257.05

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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.