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Finding the Fourth Proportional to 282.44, 389.76 and 195.16

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Solution

The fourth proportional to 282.44, 389.76 and 195.16 is: 269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.44 : 389.76 = 195.16 : x
  2. Step 2: Convert to fraction form
    282.44/389.76 = 195.16/x
  3. Step 3: Cross multiply
    282.44x = 389.76 × 195.16
  4. Step 4: Simplify right side
    282.44x = 76,065.56
  5. Step 5: Solve for x
    x = 76,065.56/282.44
  6. Step 6: Final answer
    x = 269.32

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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.