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Finding the Fourth Proportional to 176.42, 264.17 and 107.84

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Solution

The fourth proportional to 176.42, 264.17 and 107.84 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 264.17 = 107.84 : x
  2. Step 2: Convert to fraction form
    176.42/264.17 = 107.84/x
  3. Step 3: Cross multiply
    176.42x = 264.17 × 107.84
  4. Step 4: Simplify right side
    176.42x = 28,488.09
  5. Step 5: Solve for x
    x = 28,488.09/176.42
  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.