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Finding the Fourth Proportional to 181.67, 271.33 and 157.37

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Solution

The fourth proportional to 181.67, 271.33 and 157.37 is: 235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 271.33 = 157.37 : x
  2. Step 2: Convert to fraction form
    181.67/271.33 = 157.37/x
  3. Step 3: Cross multiply
    181.67x = 271.33 × 157.37
  4. Step 4: Simplify right side
    181.67x = 42,697.45
  5. Step 5: Solve for x
    x = 42,697.45/181.67
  6. Step 6: Final answer
    x = 235.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.