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Finding the Fourth Proportional to 206.83, 285.45 and 119.50

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Solution

The fourth proportional to 206.83, 285.45 and 119.50 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 285.45 = 119.50 : x
  2. Step 2: Convert to fraction form
    206.83/285.45 = 119.50/x
  3. Step 3: Cross multiply
    206.83x = 285.45 × 119.50
  4. Step 4: Simplify right side
    206.83x = 34,111.99
  5. Step 5: Solve for x
    x = 34,111.99/206.83
  6. Step 6: Final answer
    x = 164.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.