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Finding the Fourth Proportional to 181.72, 271.30 and 157.31

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Solution

The fourth proportional to 181.72, 271.30 and 157.31 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.72 : 271.30 = 157.31 : x
  2. Step 2: Convert to fraction form
    181.72/271.30 = 157.31/x
  3. Step 3: Cross multiply
    181.72x = 271.30 × 157.31
  4. Step 4: Simplify right side
    181.72x = 42,678.20
  5. Step 5: Solve for x
    x = 42,678.20/181.72
  6. Step 6: Final answer
    x = 234.86

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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.