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Finding the Fourth Proportional to 211.46, 291.81 and 116.94

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Solution

The fourth proportional to 211.46, 291.81 and 116.94 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 291.81 = 116.94 : x
  2. Step 2: Convert to fraction form
    211.46/291.81 = 116.94/x
  3. Step 3: Cross multiply
    211.46x = 291.81 × 116.94
  4. Step 4: Simplify right side
    211.46x = 34,124.26
  5. Step 5: Solve for x
    x = 34,124.26/211.46
  6. Step 6: Final answer
    x = 161.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.