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Finding the Fourth Proportional to 176.92, 263.85 and 151.41

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Solution

The fourth proportional to 176.92, 263.85 and 151.41 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 263.85 = 151.41 : x
  2. Step 2: Convert to fraction form
    176.92/263.85 = 151.41/x
  3. Step 3: Cross multiply
    176.92x = 263.85 × 151.41
  4. Step 4: Simplify right side
    176.92x = 39,949.53
  5. Step 5: Solve for x
    x = 39,949.53/176.92
  6. Step 6: Final answer
    x = 225.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.