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Finding the Fourth Proportional to 229.58, 316.82 and 131.33

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Solution

The fourth proportional to 229.58, 316.82 and 131.33 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.58 : 316.82 = 131.33 : x
  2. Step 2: Convert to fraction form
    229.58/316.82 = 131.33/x
  3. Step 3: Cross multiply
    229.58x = 316.82 × 131.33
  4. Step 4: Simplify right side
    229.58x = 41,607.97
  5. Step 5: Solve for x
    x = 41,607.97/229.58
  6. Step 6: Final answer
    x = 181.24

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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.