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Finding the Fourth Proportional to 211.91, 292.61 and 149.87

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Solution

The fourth proportional to 211.91, 292.61 and 149.87 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 292.61 = 149.87 : x
  2. Step 2: Convert to fraction form
    211.91/292.61 = 149.87/x
  3. Step 3: Cross multiply
    211.91x = 292.61 × 149.87
  4. Step 4: Simplify right side
    211.91x = 43,851.25
  5. Step 5: Solve for x
    x = 43,851.25/211.91
  6. Step 6: Final answer
    x = 206.94

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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.