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Finding the Fourth Proportional to 207.52, 285.16 and 172.96

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Solution

The fourth proportional to 207.52, 285.16 and 172.96 is: 237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 285.16 = 172.96 : x
  2. Step 2: Convert to fraction form
    207.52/285.16 = 172.96/x
  3. Step 3: Cross multiply
    207.52x = 285.16 × 172.96
  4. Step 4: Simplify right side
    207.52x = 49,321.27
  5. Step 5: Solve for x
    x = 49,321.27/207.52
  6. Step 6: Final answer
    x = 237.67

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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.