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Finding the Fourth Proportional to 211.07, 316.71 and 142.44

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Solution

The fourth proportional to 211.07, 316.71 and 142.44 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.07 : 316.71 = 142.44 : x
  2. Step 2: Convert to fraction form
    211.07/316.71 = 142.44/x
  3. Step 3: Cross multiply
    211.07x = 316.71 × 142.44
  4. Step 4: Simplify right side
    211.07x = 45,111.65
  5. Step 5: Solve for x
    x = 45,111.65/211.07
  6. Step 6: Final answer
    x = 213.73

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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.