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Finding the Fourth Proportional to 178.31, 246.10 and 104.62

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Solution

The fourth proportional to 178.31, 246.10 and 104.62 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 246.10 = 104.62 : x
  2. Step 2: Convert to fraction form
    178.31/246.10 = 104.62/x
  3. Step 3: Cross multiply
    178.31x = 246.10 × 104.62
  4. Step 4: Simplify right side
    178.31x = 25,746.98
  5. Step 5: Solve for x
    x = 25,746.98/178.31
  6. Step 6: Final answer
    x = 144.39

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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.