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Finding the Fourth Proportional to 181.40, 272.21 and 100.30

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Solution

The fourth proportional to 181.40, 272.21 and 100.30 is: 150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 272.21 = 100.30 : x
  2. Step 2: Convert to fraction form
    181.40/272.21 = 100.30/x
  3. Step 3: Cross multiply
    181.40x = 272.21 × 100.30
  4. Step 4: Simplify right side
    181.40x = 27,300.80
  5. Step 5: Solve for x
    x = 27,300.80/181.40
  6. Step 6: Final answer
    x = 150.50

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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.