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Finding the Fourth Proportional to 341.83, 512.26 and 195.49

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Solution

The fourth proportional to 341.83, 512.26 and 195.49 is: 292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.83 : 512.26 = 195.49 : x
  2. Step 2: Convert to fraction form
    341.83/512.26 = 195.49/x
  3. Step 3: Cross multiply
    341.83x = 512.26 × 195.49
  4. Step 4: Simplify right side
    341.83x = 100,141.71
  5. Step 5: Solve for x
    x = 100,141.71/341.83
  6. Step 6: Final answer
    x = 292.96

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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.