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Finding the Fourth Proportional to 200.26, 276.58 and 178.39

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Solution

The fourth proportional to 200.26, 276.58 and 178.39 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.26 : 276.58 = 178.39 : x
  2. Step 2: Convert to fraction form
    200.26/276.58 = 178.39/x
  3. Step 3: Cross multiply
    200.26x = 276.58 × 178.39
  4. Step 4: Simplify right side
    200.26x = 49,339.11
  5. Step 5: Solve for x
    x = 49,339.11/200.26
  6. Step 6: Final answer
    x = 246.38

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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.