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Finding the Fourth Proportional to 211.06, 316.59 and 113.56

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Solution

The fourth proportional to 211.06, 316.59 and 113.56 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 316.59 = 113.56 : x
  2. Step 2: Convert to fraction form
    211.06/316.59 = 113.56/x
  3. Step 3: Cross multiply
    211.06x = 316.59 × 113.56
  4. Step 4: Simplify right side
    211.06x = 35,951.96
  5. Step 5: Solve for x
    x = 35,951.96/211.06
  6. Step 6: Final answer
    x = 170.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.