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Finding the Fourth Proportional to 312.31, 430.95 and 181.33

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Solution

The fourth proportional to 312.31, 430.95 and 181.33 is: 250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 430.95 = 181.33 : x
  2. Step 2: Convert to fraction form
    312.31/430.95 = 181.33/x
  3. Step 3: Cross multiply
    312.31x = 430.95 × 181.33
  4. Step 4: Simplify right side
    312.31x = 78,144.16
  5. Step 5: Solve for x
    x = 78,144.16/312.31
  6. Step 6: Final answer
    x = 250.21

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