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Finding the Fourth Proportional to 164.77, 246.71 and 119.07

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Solution

The fourth proportional to 164.77, 246.71 and 119.07 is: 178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 246.71 = 119.07 : x
  2. Step 2: Convert to fraction form
    164.77/246.71 = 119.07/x
  3. Step 3: Cross multiply
    164.77x = 246.71 × 119.07
  4. Step 4: Simplify right side
    164.77x = 29,376.06
  5. Step 5: Solve for x
    x = 29,376.06/164.77
  6. Step 6: Final answer
    x = 178.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.