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Finding the Fourth Proportional to 178.99, 246.74 and 123.63

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Solution

The fourth proportional to 178.99, 246.74 and 123.63 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.99 : 246.74 = 123.63 : x
  2. Step 2: Convert to fraction form
    178.99/246.74 = 123.63/x
  3. Step 3: Cross multiply
    178.99x = 246.74 × 123.63
  4. Step 4: Simplify right side
    178.99x = 30,504.47
  5. Step 5: Solve for x
    x = 30,504.47/178.99
  6. Step 6: Final answer
    x = 170.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.