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Finding the Fourth Proportional to 216.34, 323.72 and 125.12

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Solution

The fourth proportional to 216.34, 323.72 and 125.12 is: 187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 323.72 = 125.12 : x
  2. Step 2: Convert to fraction form
    216.34/323.72 = 125.12/x
  3. Step 3: Cross multiply
    216.34x = 323.72 × 125.12
  4. Step 4: Simplify right side
    216.34x = 40,503.85
  5. Step 5: Solve for x
    x = 40,503.85/216.34
  6. Step 6: Final answer
    x = 187.22

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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.