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Finding the Fourth Proportional to 164.14, 245.46 and 120.54

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Solution

The fourth proportional to 164.14, 245.46 and 120.54 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 245.46 = 120.54 : x
  2. Step 2: Convert to fraction form
    164.14/245.46 = 120.54/x
  3. Step 3: Cross multiply
    164.14x = 245.46 × 120.54
  4. Step 4: Simplify right side
    164.14x = 29,587.75
  5. Step 5: Solve for x
    x = 29,587.75/164.14
  6. Step 6: Final answer
    x = 180.26

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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.