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Finding the Fourth Proportional to 344.87, 475.93 and 195.50

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Solution

The fourth proportional to 344.87, 475.93 and 195.50 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.87 : 475.93 = 195.50 : x
  2. Step 2: Convert to fraction form
    344.87/475.93 = 195.50/x
  3. Step 3: Cross multiply
    344.87x = 475.93 × 195.50
  4. Step 4: Simplify right side
    344.87x = 93,044.32
  5. Step 5: Solve for x
    x = 93,044.32/344.87
  6. Step 6: Final answer
    x = 269.80

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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.