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Finding the Fourth Proportional to 200.69, 276.84 and 153.98

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Solution

The fourth proportional to 200.69, 276.84 and 153.98 is: 212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.69 : 276.84 = 153.98 : x
  2. Step 2: Convert to fraction form
    200.69/276.84 = 153.98/x
  3. Step 3: Cross multiply
    200.69x = 276.84 × 153.98
  4. Step 4: Simplify right side
    200.69x = 42,627.82
  5. Step 5: Solve for x
    x = 42,627.82/200.69
  6. Step 6: Final answer
    x = 212.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.