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Finding the Fourth Proportional to 195.24, 269.44 and 144.81

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Solution

The fourth proportional to 195.24, 269.44 and 144.81 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 269.44 = 144.81 : x
  2. Step 2: Convert to fraction form
    195.24/269.44 = 144.81/x
  3. Step 3: Cross multiply
    195.24x = 269.44 × 144.81
  4. Step 4: Simplify right side
    195.24x = 39,017.61
  5. Step 5: Solve for x
    x = 39,017.61/195.24
  6. Step 6: Final answer
    x = 199.84

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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.