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Finding the Fourth Proportional to 207.26, 285.72 and 170.36

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Solution

The fourth proportional to 207.26, 285.72 and 170.36 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.26 : 285.72 = 170.36 : x
  2. Step 2: Convert to fraction form
    207.26/285.72 = 170.36/x
  3. Step 3: Cross multiply
    207.26x = 285.72 × 170.36
  4. Step 4: Simplify right side
    207.26x = 48,675.26
  5. Step 5: Solve for x
    x = 48,675.26/207.26
  6. Step 6: Final answer
    x = 234.85

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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.