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Finding the Fourth Proportional to 207.15, 285.69 and 157.94

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Solution

The fourth proportional to 207.15, 285.69 and 157.94 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.15 : 285.69 = 157.94 : x
  2. Step 2: Convert to fraction form
    207.15/285.69 = 157.94/x
  3. Step 3: Cross multiply
    207.15x = 285.69 × 157.94
  4. Step 4: Simplify right side
    207.15x = 45,121.88
  5. Step 5: Solve for x
    x = 45,121.88/207.15
  6. Step 6: Final answer
    x = 217.82

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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.