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Finding the Fourth Proportional to 176.05, 263.92 and 94.81

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Solution

The fourth proportional to 176.05, 263.92 and 94.81 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.05 : 263.92 = 94.81 : x
  2. Step 2: Convert to fraction form
    176.05/263.92 = 94.81/x
  3. Step 3: Cross multiply
    176.05x = 263.92 × 94.81
  4. Step 4: Simplify right side
    176.05x = 25,022.26
  5. Step 5: Solve for x
    x = 25,022.26/176.05
  6. Step 6: Final answer
    x = 142.13

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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.