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Finding the Fourth Proportional to 181.96, 272.54 and 147.56

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Solution

The fourth proportional to 181.96, 272.54 and 147.56 is: 221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 272.54 = 147.56 : x
  2. Step 2: Convert to fraction form
    181.96/272.54 = 147.56/x
  3. Step 3: Cross multiply
    181.96x = 272.54 × 147.56
  4. Step 4: Simplify right side
    181.96x = 40,216.00
  5. Step 5: Solve for x
    x = 40,216.00/181.96
  6. Step 6: Final answer
    x = 221.02

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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.