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Finding the Fourth Proportional to 179.28, 246.78 and 177.12

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Solution

The fourth proportional to 179.28, 246.78 and 177.12 is: 243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 246.78 = 177.12 : x
  2. Step 2: Convert to fraction form
    179.28/246.78 = 177.12/x
  3. Step 3: Cross multiply
    179.28x = 246.78 × 177.12
  4. Step 4: Simplify right side
    179.28x = 43,709.67
  5. Step 5: Solve for x
    x = 43,709.67/179.28
  6. Step 6: Final answer
    x = 243.81

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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.