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Finding the Fourth Proportional to 164.94, 227.84 and 130.07

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Solution

The fourth proportional to 164.94, 227.84 and 130.07 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 227.84 = 130.07 : x
  2. Step 2: Convert to fraction form
    164.94/227.84 = 130.07/x
  3. Step 3: Cross multiply
    164.94x = 227.84 × 130.07
  4. Step 4: Simplify right side
    164.94x = 29,633.36
  5. Step 5: Solve for x
    x = 29,633.36/164.94
  6. Step 6: Final answer
    x = 179.66

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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.