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Finding the Fourth Proportional to 176.88, 264.96 and 116.04

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Solution

The fourth proportional to 176.88, 264.96 and 116.04 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 264.96 = 116.04 : x
  2. Step 2: Convert to fraction form
    176.88/264.96 = 116.04/x
  3. Step 3: Cross multiply
    176.88x = 264.96 × 116.04
  4. Step 4: Simplify right side
    176.88x = 30,745.96
  5. Step 5: Solve for x
    x = 30,745.96/176.88
  6. Step 6: Final answer
    x = 173.82

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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.