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Finding the Fourth Proportional to 312.86, 469.13 and 130.29

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Solution

The fourth proportional to 312.86, 469.13 and 130.29 is: 195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.86 : 469.13 = 130.29 : x
  2. Step 2: Convert to fraction form
    312.86/469.13 = 130.29/x
  3. Step 3: Cross multiply
    312.86x = 469.13 × 130.29
  4. Step 4: Simplify right side
    312.86x = 61,122.30
  5. Step 5: Solve for x
    x = 61,122.30/312.86
  6. Step 6: Final answer
    x = 195.37

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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.