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Finding the Fourth Proportional to 312.23, 468.38 and 129.52

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Solution

The fourth proportional to 312.23, 468.38 and 129.52 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.23 : 468.38 = 129.52 : x
  2. Step 2: Convert to fraction form
    312.23/468.38 = 129.52/x
  3. Step 3: Cross multiply
    312.23x = 468.38 × 129.52
  4. Step 4: Simplify right side
    312.23x = 60,664.25
  5. Step 5: Solve for x
    x = 60,664.25/312.23
  6. Step 6: Final answer
    x = 194.30

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