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Finding the Fourth Proportional to 181.42, 271.78 and 100.32

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Solution

The fourth proportional to 181.42, 271.78 and 100.32 is: 150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.42 : 271.78 = 100.32 : x
  2. Step 2: Convert to fraction form
    181.42/271.78 = 100.32/x
  3. Step 3: Cross multiply
    181.42x = 271.78 × 100.32
  4. Step 4: Simplify right side
    181.42x = 27,264.97
  5. Step 5: Solve for x
    x = 27,264.97/181.42
  6. Step 6: Final answer
    x = 150.29

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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.