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Finding the Fourth Proportional to 327.41, 451.84 and 185.63

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Solution

The fourth proportional to 327.41, 451.84 and 185.63 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.41 : 451.84 = 185.63 : x
  2. Step 2: Convert to fraction form
    327.41/451.84 = 185.63/x
  3. Step 3: Cross multiply
    327.41x = 451.84 × 185.63
  4. Step 4: Simplify right side
    327.41x = 83,875.06
  5. Step 5: Solve for x
    x = 83,875.06/327.41
  6. Step 6: Final answer
    x = 256.18

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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.