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Finding the Fourth Proportional to 182.51, 250.82 and 164.28

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Solution

The fourth proportional to 182.51, 250.82 and 164.28 is: 225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.51 : 250.82 = 164.28 : x
  2. Step 2: Convert to fraction form
    182.51/250.82 = 164.28/x
  3. Step 3: Cross multiply
    182.51x = 250.82 × 164.28
  4. Step 4: Simplify right side
    182.51x = 41,204.71
  5. Step 5: Solve for x
    x = 41,204.71/182.51
  6. Step 6: Final answer
    x = 225.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.