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Finding the Fourth Proportional to 206.55, 309.37 and 137.75

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Solution

The fourth proportional to 206.55, 309.37 and 137.75 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 309.37 = 137.75 : x
  2. Step 2: Convert to fraction form
    206.55/309.37 = 137.75/x
  3. Step 3: Cross multiply
    206.55x = 309.37 × 137.75
  4. Step 4: Simplify right side
    206.55x = 42,615.82
  5. Step 5: Solve for x
    x = 42,615.82/206.55
  6. Step 6: Final answer
    x = 206.32

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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.