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Finding the Fourth Proportional to 193.74, 290.25 and 180.24

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Solution

The fourth proportional to 193.74, 290.25 and 180.24 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.74 : 290.25 = 180.24 : x
  2. Step 2: Convert to fraction form
    193.74/290.25 = 180.24/x
  3. Step 3: Cross multiply
    193.74x = 290.25 × 180.24
  4. Step 4: Simplify right side
    193.74x = 52,314.66
  5. Step 5: Solve for x
    x = 52,314.66/193.74
  6. Step 6: Final answer
    x = 270.03

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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.