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Finding the Fourth Proportional to 176.85, 264.92 and 112.59

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Solution

The fourth proportional to 176.85, 264.92 and 112.59 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 264.92 = 112.59 : x
  2. Step 2: Convert to fraction form
    176.85/264.92 = 112.59/x
  3. Step 3: Cross multiply
    176.85x = 264.92 × 112.59
  4. Step 4: Simplify right side
    176.85x = 29,826.78
  5. Step 5: Solve for x
    x = 29,826.78/176.85
  6. Step 6: Final answer
    x = 168.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.