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Finding the Fourth Proportional to 211.88, 292.16 and 141.80

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Solution

The fourth proportional to 211.88, 292.16 and 141.80 is: 195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 292.16 = 141.80 : x
  2. Step 2: Convert to fraction form
    211.88/292.16 = 141.80/x
  3. Step 3: Cross multiply
    211.88x = 292.16 × 141.80
  4. Step 4: Simplify right side
    211.88x = 41,428.29
  5. Step 5: Solve for x
    x = 41,428.29/211.88
  6. Step 6: Final answer
    x = 195.53

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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.