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Finding the Fourth Proportional to 211.44, 291.91 and 137.88

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Solution

The fourth proportional to 211.44, 291.91 and 137.88 is: 190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 291.91 = 137.88 : x
  2. Step 2: Convert to fraction form
    211.44/291.91 = 137.88/x
  3. Step 3: Cross multiply
    211.44x = 291.91 × 137.88
  4. Step 4: Simplify right side
    211.44x = 40,250.02
  5. Step 5: Solve for x
    x = 40,250.02/211.44
  6. Step 6: Final answer
    x = 190.36

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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.