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Finding the Fourth Proportional to 176.96, 244.16 and 118.72

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Solution

The fourth proportional to 176.96, 244.16 and 118.72 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.96 : 244.16 = 118.72 : x
  2. Step 2: Convert to fraction form
    176.96/244.16 = 118.72/x
  3. Step 3: Cross multiply
    176.96x = 244.16 × 118.72
  4. Step 4: Simplify right side
    176.96x = 28,986.68
  5. Step 5: Solve for x
    x = 28,986.68/176.96
  6. Step 6: Final answer
    x = 163.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.