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Finding the Fourth Proportional to 176.28, 263.84 and 94.92

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Solution

The fourth proportional to 176.28, 263.84 and 94.92 is: 142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.28 : 263.84 = 94.92 : x
  2. Step 2: Convert to fraction form
    176.28/263.84 = 94.92/x
  3. Step 3: Cross multiply
    176.28x = 263.84 × 94.92
  4. Step 4: Simplify right side
    176.28x = 25,043.69
  5. Step 5: Solve for x
    x = 25,043.69/176.28
  6. Step 6: Final answer
    x = 142.07

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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.