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Finding the Fourth Proportional to 207.55, 312.55 and 167.05

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Solution

The fourth proportional to 207.55, 312.55 and 167.05 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.55 : 312.55 = 167.05 : x
  2. Step 2: Convert to fraction form
    207.55/312.55 = 167.05/x
  3. Step 3: Cross multiply
    207.55x = 312.55 × 167.05
  4. Step 4: Simplify right side
    207.55x = 52,211.48
  5. Step 5: Solve for x
    x = 52,211.48/207.55
  6. Step 6: Final answer
    x = 251.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.