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Finding the Fourth Proportional to 176.21, 264.16 and 107.72

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Solution

The fourth proportional to 176.21, 264.16 and 107.72 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 264.16 = 107.72 : x
  2. Step 2: Convert to fraction form
    176.21/264.16 = 107.72/x
  3. Step 3: Cross multiply
    176.21x = 264.16 × 107.72
  4. Step 4: Simplify right side
    176.21x = 28,453.73
  5. Step 5: Solve for x
    x = 28,453.73/176.21
  6. Step 6: Final answer
    x = 161.48

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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.