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Finding the Fourth Proportional to 229.54, 316.69 and 137.54

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Solution

The fourth proportional to 229.54, 316.69 and 137.54 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.54 : 316.69 = 137.54 : x
  2. Step 2: Convert to fraction form
    229.54/316.69 = 137.54/x
  3. Step 3: Cross multiply
    229.54x = 316.69 × 137.54
  4. Step 4: Simplify right side
    229.54x = 43,557.54
  5. Step 5: Solve for x
    x = 43,557.54/229.54
  6. Step 6: Final answer
    x = 189.76

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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.