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Finding the Fourth Proportional to 164.06, 226.49 and 155.15

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Solution

The fourth proportional to 164.06, 226.49 and 155.15 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.06 : 226.49 = 155.15 : x
  2. Step 2: Convert to fraction form
    164.06/226.49 = 155.15/x
  3. Step 3: Cross multiply
    164.06x = 226.49 × 155.15
  4. Step 4: Simplify right side
    164.06x = 35,138.02
  5. Step 5: Solve for x
    x = 35,138.02/164.06
  6. Step 6: Final answer
    x = 214.18

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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.