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Finding the Fourth Proportional to 176.22, 264.37 and 54.48

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Solution

The fourth proportional to 176.22, 264.37 and 54.48 is: 81.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 264.37 = 54.48 : x
  2. Step 2: Convert to fraction form
    176.22/264.37 = 54.48/x
  3. Step 3: Cross multiply
    176.22x = 264.37 × 54.48
  4. Step 4: Simplify right side
    176.22x = 14,402.88
  5. Step 5: Solve for x
    x = 14,402.88/176.22
  6. Step 6: Final answer
    x = 81.73

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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.