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Finding the Fourth Proportional to 168.86, 253.09 and 130.22

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Solution

The fourth proportional to 168.86, 253.09 and 130.22 is: 195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 253.09 = 130.22 : x
  2. Step 2: Convert to fraction form
    168.86/253.09 = 130.22/x
  3. Step 3: Cross multiply
    168.86x = 253.09 × 130.22
  4. Step 4: Simplify right side
    168.86x = 32,957.38
  5. Step 5: Solve for x
    x = 32,957.38/168.86
  6. Step 6: Final answer
    x = 195.18

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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.