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Finding the Fourth Proportional to 176.84, 264.92 and 111.92

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Solution

The fourth proportional to 176.84, 264.92 and 111.92 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.84 : 264.92 = 111.92 : x
  2. Step 2: Convert to fraction form
    176.84/264.92 = 111.92/x
  3. Step 3: Cross multiply
    176.84x = 264.92 × 111.92
  4. Step 4: Simplify right side
    176.84x = 29,649.85
  5. Step 5: Solve for x
    x = 29,649.85/176.84
  6. Step 6: Final answer
    x = 167.66

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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.