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Finding the Fourth Proportional to 282.84, 424.61 and 190.37

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Solution

The fourth proportional to 282.84, 424.61 and 190.37 is: 285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 424.61 = 190.37 : x
  2. Step 2: Convert to fraction form
    282.84/424.61 = 190.37/x
  3. Step 3: Cross multiply
    282.84x = 424.61 × 190.37
  4. Step 4: Simplify right side
    282.84x = 80,829.93
  5. Step 5: Solve for x
    x = 80,829.93/282.84
  6. Step 6: Final answer
    x = 285.78

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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.