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Finding the Fourth Proportional to 211.44, 316.62 and 188.22

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Solution

The fourth proportional to 211.44, 316.62 and 188.22 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 316.62 = 188.22 : x
  2. Step 2: Convert to fraction form
    211.44/316.62 = 188.22/x
  3. Step 3: Cross multiply
    211.44x = 316.62 × 188.22
  4. Step 4: Simplify right side
    211.44x = 59,594.22
  5. Step 5: Solve for x
    x = 59,594.22/211.44
  6. Step 6: Final answer
    x = 281.85

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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.