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Finding the Fourth Proportional to 171.88, 257.66 and 120.52

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Solution

The fourth proportional to 171.88, 257.66 and 120.52 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 257.66 = 120.52 : x
  2. Step 2: Convert to fraction form
    171.88/257.66 = 120.52/x
  3. Step 3: Cross multiply
    171.88x = 257.66 × 120.52
  4. Step 4: Simplify right side
    171.88x = 31,053.18
  5. Step 5: Solve for x
    x = 31,053.18/171.88
  6. Step 6: Final answer
    x = 180.67

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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.