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Finding the Fourth Proportional to 178.80, 246.81 and 119.00

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Solution

The fourth proportional to 178.80, 246.81 and 119.00 is: 164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 246.81 = 119.00 : x
  2. Step 2: Convert to fraction form
    178.80/246.81 = 119.00/x
  3. Step 3: Cross multiply
    178.80x = 246.81 × 119.00
  4. Step 4: Simplify right side
    178.80x = 29,369.16
  5. Step 5: Solve for x
    x = 29,369.16/178.80
  6. Step 6: Final answer
    x = 164.26

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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.