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Finding the Fourth Proportional to 200.29, 276.47 and 158.94

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Solution

The fourth proportional to 200.29, 276.47 and 158.94 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 276.47 = 158.94 : x
  2. Step 2: Convert to fraction form
    200.29/276.47 = 158.94/x
  3. Step 3: Cross multiply
    200.29x = 276.47 × 158.94
  4. Step 4: Simplify right side
    200.29x = 43,942.14
  5. Step 5: Solve for x
    x = 43,942.14/200.29
  6. Step 6: Final answer
    x = 219.39

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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.