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Finding the Fourth Proportional to 195.58, 293.23 and 180.24

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Solution

The fourth proportional to 195.58, 293.23 and 180.24 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.58 : 293.23 = 180.24 : x
  2. Step 2: Convert to fraction form
    195.58/293.23 = 180.24/x
  3. Step 3: Cross multiply
    195.58x = 293.23 × 180.24
  4. Step 4: Simplify right side
    195.58x = 52,851.78
  5. Step 5: Solve for x
    x = 52,851.78/195.58
  6. Step 6: Final answer
    x = 270.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.