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Finding the Fourth Proportional to 312.58, 468.54 and 129.97

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Solution

The fourth proportional to 312.58, 468.54 and 129.97 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 468.54 = 129.97 : x
  2. Step 2: Convert to fraction form
    312.58/468.54 = 129.97/x
  3. Step 3: Cross multiply
    312.58x = 468.54 × 129.97
  4. Step 4: Simplify right side
    312.58x = 60,896.14
  5. Step 5: Solve for x
    x = 60,896.14/312.58
  6. Step 6: Final answer
    x = 194.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.