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Finding the Fourth Proportional to 211.67, 292.07 and 141.84

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Solution

The fourth proportional to 211.67, 292.07 and 141.84 is: 195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.67 : 292.07 = 141.84 : x
  2. Step 2: Convert to fraction form
    211.67/292.07 = 141.84/x
  3. Step 3: Cross multiply
    211.67x = 292.07 × 141.84
  4. Step 4: Simplify right side
    211.67x = 41,427.21
  5. Step 5: Solve for x
    x = 41,427.21/211.67
  6. Step 6: Final answer
    x = 195.72

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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.