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Finding the Fourth Proportional to 181.16, 270.25 and 154.28

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Solution

The fourth proportional to 181.16, 270.25 and 154.28 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 270.25 = 154.28 : x
  2. Step 2: Convert to fraction form
    181.16/270.25 = 154.28/x
  3. Step 3: Cross multiply
    181.16x = 270.25 × 154.28
  4. Step 4: Simplify right side
    181.16x = 41,694.17
  5. Step 5: Solve for x
    x = 41,694.17/181.16
  6. Step 6: Final answer
    x = 230.15

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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.