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Finding the Fourth Proportional to 236.68, 355.08 and 171.74

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Solution

The fourth proportional to 236.68, 355.08 and 171.74 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.68 : 355.08 = 171.74 : x
  2. Step 2: Convert to fraction form
    236.68/355.08 = 171.74/x
  3. Step 3: Cross multiply
    236.68x = 355.08 × 171.74
  4. Step 4: Simplify right side
    236.68x = 60,982.97
  5. Step 5: Solve for x
    x = 60,982.97/236.68
  6. Step 6: Final answer
    x = 257.66

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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.