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Finding the Fourth Proportional to 176.75, 265.23 and 80.57

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Solution

The fourth proportional to 176.75, 265.23 and 80.57 is: 120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 265.23 = 80.57 : x
  2. Step 2: Convert to fraction form
    176.75/265.23 = 80.57/x
  3. Step 3: Cross multiply
    176.75x = 265.23 × 80.57
  4. Step 4: Simplify right side
    176.75x = 21,369.58
  5. Step 5: Solve for x
    x = 21,369.58/176.75
  6. Step 6: Final answer
    x = 120.90

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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.