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Finding the Fourth Proportional to 229.92, 317.34 and 131.75

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Solution

The fourth proportional to 229.92, 317.34 and 131.75 is: 181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 317.34 = 131.75 : x
  2. Step 2: Convert to fraction form
    229.92/317.34 = 131.75/x
  3. Step 3: Cross multiply
    229.92x = 317.34 × 131.75
  4. Step 4: Simplify right side
    229.92x = 41,807.96
  5. Step 5: Solve for x
    x = 41,807.96/229.92
  6. Step 6: Final answer
    x = 181.83

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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.