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Finding the Fourth Proportional to 316.06, 436.26 and 199.70

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Solution

The fourth proportional to 316.06, 436.26 and 199.70 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.06 : 436.26 = 199.70 : x
  2. Step 2: Convert to fraction form
    316.06/436.26 = 199.70/x
  3. Step 3: Cross multiply
    316.06x = 436.26 × 199.70
  4. Step 4: Simplify right side
    316.06x = 87,121.12
  5. Step 5: Solve for x
    x = 87,121.12/316.06
  6. Step 6: Final answer
    x = 275.65

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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.