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Finding the Fourth Proportional to 176.43, 264.24 and 140.12

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Solution

The fourth proportional to 176.43, 264.24 and 140.12 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.43 : 264.24 = 140.12 : x
  2. Step 2: Convert to fraction form
    176.43/264.24 = 140.12/x
  3. Step 3: Cross multiply
    176.43x = 264.24 × 140.12
  4. Step 4: Simplify right side
    176.43x = 37,023.99
  5. Step 5: Solve for x
    x = 37,023.99/176.43
  6. Step 6: Final answer
    x = 209.85

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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.