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Finding the Fourth Proportional to 164.54, 226.90 and 114.79

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Solution

The fourth proportional to 164.54, 226.90 and 114.79 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 226.90 = 114.79 : x
  2. Step 2: Convert to fraction form
    164.54/226.90 = 114.79/x
  3. Step 3: Cross multiply
    164.54x = 226.90 × 114.79
  4. Step 4: Simplify right side
    164.54x = 26,045.28
  5. Step 5: Solve for x
    x = 26,045.28/164.54
  6. Step 6: Final answer
    x = 158.30

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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.