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Finding the Fourth Proportional to 211.24, 291.04 and 142.12

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Solution

The fourth proportional to 211.24, 291.04 and 142.12 is: 195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 291.04 = 142.12 : x
  2. Step 2: Convert to fraction form
    211.24/291.04 = 142.12/x
  3. Step 3: Cross multiply
    211.24x = 291.04 × 142.12
  4. Step 4: Simplify right side
    211.24x = 41,362.60
  5. Step 5: Solve for x
    x = 41,362.60/211.24
  6. Step 6: Final answer
    x = 195.81

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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.