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Finding the Fourth Proportional to 213.53, 319.75 and 148.73

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Solution

The fourth proportional to 213.53, 319.75 and 148.73 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 319.75 = 148.73 : x
  2. Step 2: Convert to fraction form
    213.53/319.75 = 148.73/x
  3. Step 3: Cross multiply
    213.53x = 319.75 × 148.73
  4. Step 4: Simplify right side
    213.53x = 47,556.42
  5. Step 5: Solve for x
    x = 47,556.42/213.53
  6. Step 6: Final answer
    x = 222.72

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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.