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Finding the Fourth Proportional to 181.40, 270.52 and 164.12

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Solution

The fourth proportional to 181.40, 270.52 and 164.12 is: 244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 270.52 = 164.12 : x
  2. Step 2: Convert to fraction form
    181.40/270.52 = 164.12/x
  3. Step 3: Cross multiply
    181.40x = 270.52 × 164.12
  4. Step 4: Simplify right side
    181.40x = 44,397.74
  5. Step 5: Solve for x
    x = 44,397.74/181.40
  6. Step 6: Final answer
    x = 244.75

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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.