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Finding the Fourth Proportional to 216.34, 323.82 and 143.07

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Solution

The fourth proportional to 216.34, 323.82 and 143.07 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 323.82 = 143.07 : x
  2. Step 2: Convert to fraction form
    216.34/323.82 = 143.07/x
  3. Step 3: Cross multiply
    216.34x = 323.82 × 143.07
  4. Step 4: Simplify right side
    216.34x = 46,328.93
  5. Step 5: Solve for x
    x = 46,328.93/216.34
  6. Step 6: Final answer
    x = 214.15

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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.