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Finding the Fourth Proportional to 312, 468.16 and 129.60

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Solution

The fourth proportional to 312, 468.16 and 129.60 is: 194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 468.16 = 129.60 : x
  2. Step 2: Convert to fraction form
    312/468.16 = 129.60/x
  3. Step 3: Cross multiply
    312x = 468.16 × 129.60
  4. Step 4: Simplify right side
    312x = 60,673.54
  5. Step 5: Solve for x
    x = 60,673.54/312
  6. Step 6: Final answer
    x = 194.47

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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.