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Finding the Fourth Proportional to 176.82, 243.90 and 144

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Solution

The fourth proportional to 176.82, 243.90 and 144 is: 198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 243.90 = 144 : x
  2. Step 2: Convert to fraction form
    176.82/243.90 = 144/x
  3. Step 3: Cross multiply
    176.82x = 243.90 × 144
  4. Step 4: Simplify right side
    176.82x = 35,121.60
  5. Step 5: Solve for x
    x = 35,121.60/176.82
  6. Step 6: Final answer
    x = 198.63

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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.