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Finding the Fourth Proportional to 164.31, 245.94 and 120.29

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Solution

The fourth proportional to 164.31, 245.94 and 120.29 is: 180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 245.94 = 120.29 : x
  2. Step 2: Convert to fraction form
    164.31/245.94 = 120.29/x
  3. Step 3: Cross multiply
    164.31x = 245.94 × 120.29
  4. Step 4: Simplify right side
    164.31x = 29,582.89
  5. Step 5: Solve for x
    x = 29,582.89/164.31
  6. Step 6: Final answer
    x = 180.05

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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.