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Finding the Fourth Proportional to 181.43, 270.20 and 175.05

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Solution

The fourth proportional to 181.43, 270.20 and 175.05 is: 260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.43 : 270.20 = 175.05 : x
  2. Step 2: Convert to fraction form
    181.43/270.20 = 175.05/x
  3. Step 3: Cross multiply
    181.43x = 270.20 × 175.05
  4. Step 4: Simplify right side
    181.43x = 47,298.95
  5. Step 5: Solve for x
    x = 47,298.95/181.43
  6. Step 6: Final answer
    x = 260.71

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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.