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Finding the Fourth Proportional to 207.70, 285.09 and 189.17

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Solution

The fourth proportional to 207.70, 285.09 and 189.17 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 285.09 = 189.17 : x
  2. Step 2: Convert to fraction form
    207.70/285.09 = 189.17/x
  3. Step 3: Cross multiply
    207.70x = 285.09 × 189.17
  4. Step 4: Simplify right side
    207.70x = 53,930.48
  5. Step 5: Solve for x
    x = 53,930.48/207.70
  6. Step 6: Final answer
    x = 259.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.