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Finding the Fourth Proportional to 178.77, 246.30 and 123.43

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Solution

The fourth proportional to 178.77, 246.30 and 123.43 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 246.30 = 123.43 : x
  2. Step 2: Convert to fraction form
    178.77/246.30 = 123.43/x
  3. Step 3: Cross multiply
    178.77x = 246.30 × 123.43
  4. Step 4: Simplify right side
    178.77x = 30,400.81
  5. Step 5: Solve for x
    x = 30,400.81/178.77
  6. Step 6: Final answer
    x = 170.06

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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.