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Finding the Fourth Proportional to 176.85, 263.99 and 163.49

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Solution

The fourth proportional to 176.85, 263.99 and 163.49 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 263.99 = 163.49 : x
  2. Step 2: Convert to fraction form
    176.85/263.99 = 163.49/x
  3. Step 3: Cross multiply
    176.85x = 263.99 × 163.49
  4. Step 4: Simplify right side
    176.85x = 43,158.81
  5. Step 5: Solve for x
    x = 43,158.81/176.85
  6. Step 6: Final answer
    x = 244.04

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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.