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Finding the Fourth Proportional to 193.19, 264.67 and 185.90

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Solution

The fourth proportional to 193.19, 264.67 and 185.90 is: 254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.19 : 264.67 = 185.90 : x
  2. Step 2: Convert to fraction form
    193.19/264.67 = 185.90/x
  3. Step 3: Cross multiply
    193.19x = 264.67 × 185.90
  4. Step 4: Simplify right side
    193.19x = 49,200.36
  5. Step 5: Solve for x
    x = 49,200.36/193.19
  6. Step 6: Final answer
    x = 254.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.