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Finding the Fourth Proportional to 211.64, 292.11 and 137.83

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Solution

The fourth proportional to 211.64, 292.11 and 137.83 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.64 : 292.11 = 137.83 : x
  2. Step 2: Convert to fraction form
    211.64/292.11 = 137.83/x
  3. Step 3: Cross multiply
    211.64x = 292.11 × 137.83
  4. Step 4: Simplify right side
    211.64x = 40,260.79
  5. Step 5: Solve for x
    x = 40,260.79/211.64
  6. Step 6: Final answer
    x = 190.24

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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.