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Finding the Fourth Proportional to 236.14, 353.40 and 181.72

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Solution

The fourth proportional to 236.14, 353.40 and 181.72 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.14 : 353.40 = 181.72 : x
  2. Step 2: Convert to fraction form
    236.14/353.40 = 181.72/x
  3. Step 3: Cross multiply
    236.14x = 353.40 × 181.72
  4. Step 4: Simplify right side
    236.14x = 64,219.85
  5. Step 5: Solve for x
    x = 64,219.85/236.14
  6. Step 6: Final answer
    x = 271.96

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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.