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Finding the Fourth Proportional to 164.13, 246.19 and 118.56

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Solution

The fourth proportional to 164.13, 246.19 and 118.56 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 246.19 = 118.56 : x
  2. Step 2: Convert to fraction form
    164.13/246.19 = 118.56/x
  3. Step 3: Cross multiply
    164.13x = 246.19 × 118.56
  4. Step 4: Simplify right side
    164.13x = 29,188.29
  5. Step 5: Solve for x
    x = 29,188.29/164.13
  6. Step 6: Final answer
    x = 177.84

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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.