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Finding the Fourth Proportional to 211.45, 291.81 and 116.93

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Solution

The fourth proportional to 211.45, 291.81 and 116.93 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.45 : 291.81 = 116.93 : x
  2. Step 2: Convert to fraction form
    211.45/291.81 = 116.93/x
  3. Step 3: Cross multiply
    211.45x = 291.81 × 116.93
  4. Step 4: Simplify right side
    211.45x = 34,121.34
  5. Step 5: Solve for x
    x = 34,121.34/211.45
  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.