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Finding the Fourth Proportional to 181.66, 272.50 and 73.48

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Solution

The fourth proportional to 181.66, 272.50 and 73.48 is: 110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.66 : 272.50 = 73.48 : x
  2. Step 2: Convert to fraction form
    181.66/272.50 = 73.48/x
  3. Step 3: Cross multiply
    181.66x = 272.50 × 73.48
  4. Step 4: Simplify right side
    181.66x = 20,023.30
  5. Step 5: Solve for x
    x = 20,023.30/181.66
  6. Step 6: Final answer
    x = 110.22

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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.