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Finding the Fourth Proportional to 216, 323.73 and 124.74

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Solution

The fourth proportional to 216, 323.73 and 124.74 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 323.73 = 124.74 : x
  2. Step 2: Convert to fraction form
    216/323.73 = 124.74/x
  3. Step 3: Cross multiply
    216x = 323.73 × 124.74
  4. Step 4: Simplify right side
    216x = 40,382.08
  5. Step 5: Solve for x
    x = 40,382.08/216
  6. Step 6: Final answer
    x = 186.95

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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.