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Finding the Fourth Proportional to 164.19, 225.89 and 159.64

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Solution

The fourth proportional to 164.19, 225.89 and 159.64 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 225.89 = 159.64 : x
  2. Step 2: Convert to fraction form
    164.19/225.89 = 159.64/x
  3. Step 3: Cross multiply
    164.19x = 225.89 × 159.64
  4. Step 4: Simplify right side
    164.19x = 36,060.32
  5. Step 5: Solve for x
    x = 36,060.32/164.19
  6. Step 6: Final answer
    x = 219.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.