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Finding the Fourth Proportional to 264.87, 365.34 and 171.72

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Solution

The fourth proportional to 264.87, 365.34 and 171.72 is: 236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.87 : 365.34 = 171.72 : x
  2. Step 2: Convert to fraction form
    264.87/365.34 = 171.72/x
  3. Step 3: Cross multiply
    264.87x = 365.34 × 171.72
  4. Step 4: Simplify right side
    264.87x = 62,736.83
  5. Step 5: Solve for x
    x = 62,736.83/264.87
  6. Step 6: Final answer
    x = 236.86

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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.