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Finding the Fourth Proportional to 200.84, 300 and 190.50

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Solution

The fourth proportional to 200.84, 300 and 190.50 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 300 = 190.50 : x
  2. Step 2: Convert to fraction form
    200.84/300 = 190.50/x
  3. Step 3: Cross multiply
    200.84x = 300 × 190.50
  4. Step 4: Simplify right side
    200.84x = 57,150
  5. Step 5: Solve for x
    x = 57,150/200.84
  6. Step 6: Final answer
    x = 284.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.