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Finding the Fourth Proportional to 181.98, 272.76 and 100.68

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Solution

The fourth proportional to 181.98, 272.76 and 100.68 is: 150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 272.76 = 100.68 : x
  2. Step 2: Convert to fraction form
    181.98/272.76 = 100.68/x
  3. Step 3: Cross multiply
    181.98x = 272.76 × 100.68
  4. Step 4: Simplify right side
    181.98x = 27,461.48
  5. Step 5: Solve for x
    x = 27,461.48/181.98
  6. Step 6: Final answer
    x = 150.90

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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.