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Finding the Fourth Proportional to 164.90, 227.44 and 117.54

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Solution

The fourth proportional to 164.90, 227.44 and 117.54 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 227.44 = 117.54 : x
  2. Step 2: Convert to fraction form
    164.90/227.44 = 117.54/x
  3. Step 3: Cross multiply
    164.90x = 227.44 × 117.54
  4. Step 4: Simplify right side
    164.90x = 26,733.30
  5. Step 5: Solve for x
    x = 26,733.30/164.90
  6. Step 6: Final answer
    x = 162.12

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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.