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Finding the Fourth Proportional to 206.94, 310.62 and 125.94

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Solution

The fourth proportional to 206.94, 310.62 and 125.94 is: 189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 310.62 = 125.94 : x
  2. Step 2: Convert to fraction form
    206.94/310.62 = 125.94/x
  3. Step 3: Cross multiply
    206.94x = 310.62 × 125.94
  4. Step 4: Simplify right side
    206.94x = 39,119.48
  5. Step 5: Solve for x
    x = 39,119.48/206.94
  6. Step 6: Final answer
    x = 189.04

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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.