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Finding the Fourth Proportional to 312.58, 469.07 and 129.97

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Solution

The fourth proportional to 312.58, 469.07 and 129.97 is: 195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 469.07 = 129.97 : x
  2. Step 2: Convert to fraction form
    312.58/469.07 = 129.97/x
  3. Step 3: Cross multiply
    312.58x = 469.07 × 129.97
  4. Step 4: Simplify right side
    312.58x = 60,963.86
  5. Step 5: Solve for x
    x = 60,963.86/312.58
  6. Step 6: Final answer
    x = 195.04

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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.