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Finding the Fourth Proportional to 181.43, 271.87 and 100.16

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Solution

The fourth proportional to 181.43, 271.87 and 100.16 is: 150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.43 : 271.87 = 100.16 : x
  2. Step 2: Convert to fraction form
    181.43/271.87 = 100.16/x
  3. Step 3: Cross multiply
    181.43x = 271.87 × 100.16
  4. Step 4: Simplify right side
    181.43x = 27,228.89
  5. Step 5: Solve for x
    x = 27,228.89/181.43
  6. Step 6: Final answer
    x = 150.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.