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Finding the Fourth Proportional to 176.86, 266.41 and 163.50

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Solution

The fourth proportional to 176.86, 266.41 and 163.50 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.86 : 266.41 = 163.50 : x
  2. Step 2: Convert to fraction form
    176.86/266.41 = 163.50/x
  3. Step 3: Cross multiply
    176.86x = 266.41 × 163.50
  4. Step 4: Simplify right side
    176.86x = 43,558.04
  5. Step 5: Solve for x
    x = 43,558.04/176.86
  6. Step 6: Final answer
    x = 246.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.