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Finding the Fourth Proportional to 357.93, 537.72 and 213.75

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Solution

The fourth proportional to 357.93, 537.72 and 213.75 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.93 : 537.72 = 213.75 : x
  2. Step 2: Convert to fraction form
    357.93/537.72 = 213.75/x
  3. Step 3: Cross multiply
    357.93x = 537.72 × 213.75
  4. Step 4: Simplify right side
    357.93x = 114,937.65
  5. Step 5: Solve for x
    x = 114,937.65/357.93
  6. Step 6: Final answer
    x = 321.12

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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.