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Finding the Fourth Proportional to 178.49, 246.05 and 123.14

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Solution

The fourth proportional to 178.49, 246.05 and 123.14 is: 169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 246.05 = 123.14 : x
  2. Step 2: Convert to fraction form
    178.49/246.05 = 123.14/x
  3. Step 3: Cross multiply
    178.49x = 246.05 × 123.14
  4. Step 4: Simplify right side
    178.49x = 30,297.37
  5. Step 5: Solve for x
    x = 30,297.37/178.49
  6. Step 6: Final answer
    x = 169.74

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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.