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Finding the Fourth Proportional to 193.50, 290.10 and 85.23

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Solution

The fourth proportional to 193.50, 290.10 and 85.23 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 290.10 = 85.23 : x
  2. Step 2: Convert to fraction form
    193.50/290.10 = 85.23/x
  3. Step 3: Cross multiply
    193.50x = 290.10 × 85.23
  4. Step 4: Simplify right side
    193.50x = 24,725.22
  5. Step 5: Solve for x
    x = 24,725.22/193.50
  6. Step 6: Final answer
    x = 127.78

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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.