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Finding the Fourth Proportional to 210.69, 289.05 and 200.36

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Solution

The fourth proportional to 210.69, 289.05 and 200.36 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.69 : 289.05 = 200.36 : x
  2. Step 2: Convert to fraction form
    210.69/289.05 = 200.36/x
  3. Step 3: Cross multiply
    210.69x = 289.05 × 200.36
  4. Step 4: Simplify right side
    210.69x = 57,912.61
  5. Step 5: Solve for x
    x = 57,912.61/210.69
  6. Step 6: Final answer
    x = 274.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.