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Finding the Fourth Proportional to 200.51, 300.76 and 189.98

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Solution

The fourth proportional to 200.51, 300.76 and 189.98 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.51 : 300.76 = 189.98 : x
  2. Step 2: Convert to fraction form
    200.51/300.76 = 189.98/x
  3. Step 3: Cross multiply
    200.51x = 300.76 × 189.98
  4. Step 4: Simplify right side
    200.51x = 57,136.88
  5. Step 5: Solve for x
    x = 57,136.88/200.51
  6. Step 6: Final answer
    x = 284.96

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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.