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Finding the Fourth Proportional to 178.49, 246.24 and 104.77

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Solution

The fourth proportional to 178.49, 246.24 and 104.77 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 246.24 = 104.77 : x
  2. Step 2: Convert to fraction form
    178.49/246.24 = 104.77/x
  3. Step 3: Cross multiply
    178.49x = 246.24 × 104.77
  4. Step 4: Simplify right side
    178.49x = 25,798.56
  5. Step 5: Solve for x
    x = 25,798.56/178.49
  6. Step 6: Final answer
    x = 144.54

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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.