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Finding the Fourth Proportional to 215.82, 298.01 and 141.19

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Solution

The fourth proportional to 215.82, 298.01 and 141.19 is: 194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 298.01 = 141.19 : x
  2. Step 2: Convert to fraction form
    215.82/298.01 = 141.19/x
  3. Step 3: Cross multiply
    215.82x = 298.01 × 141.19
  4. Step 4: Simplify right side
    215.82x = 42,074.69
  5. Step 5: Solve for x
    x = 42,074.69/215.82
  6. Step 6: Final answer
    x = 194.95

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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.