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Finding the Fourth Proportional to 207.60, 310.96 and 171.55

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Solution

The fourth proportional to 207.60, 310.96 and 171.55 is: 256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 310.96 = 171.55 : x
  2. Step 2: Convert to fraction form
    207.60/310.96 = 171.55/x
  3. Step 3: Cross multiply
    207.60x = 310.96 × 171.55
  4. Step 4: Simplify right side
    207.60x = 53,345.19
  5. Step 5: Solve for x
    x = 53,345.19/207.60
  6. Step 6: Final answer
    x = 256.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.