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Finding the Fourth Proportional to 282.88, 423.94 and 196.06

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Solution

The fourth proportional to 282.88, 423.94 and 196.06 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 423.94 = 196.06 : x
  2. Step 2: Convert to fraction form
    282.88/423.94 = 196.06/x
  3. Step 3: Cross multiply
    282.88x = 423.94 × 196.06
  4. Step 4: Simplify right side
    282.88x = 83,117.68
  5. Step 5: Solve for x
    x = 83,117.68/282.88
  6. Step 6: Final answer
    x = 293.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.