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Finding the Fourth Proportional to 207.21, 285.99 and 119.88

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Solution

The fourth proportional to 207.21, 285.99 and 119.88 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.21 : 285.99 = 119.88 : x
  2. Step 2: Convert to fraction form
    207.21/285.99 = 119.88/x
  3. Step 3: Cross multiply
    207.21x = 285.99 × 119.88
  4. Step 4: Simplify right side
    207.21x = 34,285.17
  5. Step 5: Solve for x
    x = 34,285.17/207.21
  6. Step 6: Final answer
    x = 165.46

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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.