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Finding the Fourth Proportional to 181.30, 270.46 and 155.32

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Solution

The fourth proportional to 181.30, 270.46 and 155.32 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.30 : 270.46 = 155.32 : x
  2. Step 2: Convert to fraction form
    181.30/270.46 = 155.32/x
  3. Step 3: Cross multiply
    181.30x = 270.46 × 155.32
  4. Step 4: Simplify right side
    181.30x = 42,007.85
  5. Step 5: Solve for x
    x = 42,007.85/181.30
  6. Step 6: Final answer
    x = 231.70

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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.