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Finding the Fourth Proportional to 316.56, 436.83 and 185.55

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Solution

The fourth proportional to 316.56, 436.83 and 185.55 is: 256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.56 : 436.83 = 185.55 : x
  2. Step 2: Convert to fraction form
    316.56/436.83 = 185.55/x
  3. Step 3: Cross multiply
    316.56x = 436.83 × 185.55
  4. Step 4: Simplify right side
    316.56x = 81,053.81
  5. Step 5: Solve for x
    x = 81,053.81/316.56
  6. Step 6: Final answer
    x = 256.05

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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.