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Finding the Fourth Proportional to 195.42, 294.29 and 141.69

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Solution

The fourth proportional to 195.42, 294.29 and 141.69 is: 213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 294.29 = 141.69 : x
  2. Step 2: Convert to fraction form
    195.42/294.29 = 141.69/x
  3. Step 3: Cross multiply
    195.42x = 294.29 × 141.69
  4. Step 4: Simplify right side
    195.42x = 41,697.95
  5. Step 5: Solve for x
    x = 41,697.95/195.42
  6. Step 6: Final answer
    x = 213.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.