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Finding the Fourth Proportional to 312.34, 430.82 and 181.30

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Solution

The fourth proportional to 312.34, 430.82 and 181.30 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 430.82 = 181.30 : x
  2. Step 2: Convert to fraction form
    312.34/430.82 = 181.30/x
  3. Step 3: Cross multiply
    312.34x = 430.82 × 181.30
  4. Step 4: Simplify right side
    312.34x = 78,107.67
  5. Step 5: Solve for x
    x = 78,107.67/312.34
  6. Step 6: Final answer
    x = 250.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.