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Finding the Fourth Proportional to 171, 255.33 and 166.08

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Solution

The fourth proportional to 171, 255.33 and 166.08 is: 247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 255.33 = 166.08 : x
  2. Step 2: Convert to fraction form
    171/255.33 = 166.08/x
  3. Step 3: Cross multiply
    171x = 255.33 × 166.08
  4. Step 4: Simplify right side
    171x = 42,405.21
  5. Step 5: Solve for x
    x = 42,405.21/171
  6. Step 6: Final answer
    x = 247.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.