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Finding the Fourth Proportional to 206.55, 310.44 and 184.07

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Solution

The fourth proportional to 206.55, 310.44 and 184.07 is: 276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 310.44 = 184.07 : x
  2. Step 2: Convert to fraction form
    206.55/310.44 = 184.07/x
  3. Step 3: Cross multiply
    206.55x = 310.44 × 184.07
  4. Step 4: Simplify right side
    206.55x = 57,142.69
  5. Step 5: Solve for x
    x = 57,142.69/206.55
  6. Step 6: Final answer
    x = 276.65

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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.