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Finding the Fourth Proportional to 164.82, 227.74 and 130.13

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Solution

The fourth proportional to 164.82, 227.74 and 130.13 is: 179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 227.74 = 130.13 : x
  2. Step 2: Convert to fraction form
    164.82/227.74 = 130.13/x
  3. Step 3: Cross multiply
    164.82x = 227.74 × 130.13
  4. Step 4: Simplify right side
    164.82x = 29,634.34
  5. Step 5: Solve for x
    x = 29,634.34/164.82
  6. Step 6: Final answer
    x = 179.80

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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.