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Finding the Fourth Proportional to 164.93, 246.34 and 118.91

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Solution

The fourth proportional to 164.93, 246.34 and 118.91 is: 177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 246.34 = 118.91 : x
  2. Step 2: Convert to fraction form
    164.93/246.34 = 118.91/x
  3. Step 3: Cross multiply
    164.93x = 246.34 × 118.91
  4. Step 4: Simplify right side
    164.93x = 29,293.05
  5. Step 5: Solve for x
    x = 29,293.05/164.93
  6. Step 6: Final answer
    x = 177.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.