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Finding the Fourth Proportional to 282.50, 389.03 and 195.02

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Solution

The fourth proportional to 282.50, 389.03 and 195.02 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 389.03 = 195.02 : x
  2. Step 2: Convert to fraction form
    282.50/389.03 = 195.02/x
  3. Step 3: Cross multiply
    282.50x = 389.03 × 195.02
  4. Step 4: Simplify right side
    282.50x = 75,865.71
  5. Step 5: Solve for x
    x = 75,865.71/282.50
  6. Step 6: Final answer
    x = 268.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.