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Finding the Fourth Proportional to 181.80, 271.24 and 164.52

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Solution

The fourth proportional to 181.80, 271.24 and 164.52 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 271.24 = 164.52 : x
  2. Step 2: Convert to fraction form
    181.80/271.24 = 164.52/x
  3. Step 3: Cross multiply
    181.80x = 271.24 × 164.52
  4. Step 4: Simplify right side
    181.80x = 44,623.99
  5. Step 5: Solve for x
    x = 44,623.99/181.80
  6. Step 6: Final answer
    x = 245.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.