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Finding the Fourth Proportional to 168.64, 233.70 and 165.40

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Solution

The fourth proportional to 168.64, 233.70 and 165.40 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 233.70 = 165.40 : x
  2. Step 2: Convert to fraction form
    168.64/233.70 = 165.40/x
  3. Step 3: Cross multiply
    168.64x = 233.70 × 165.40
  4. Step 4: Simplify right side
    168.64x = 38,653.98
  5. Step 5: Solve for x
    x = 38,653.98/168.64
  6. Step 6: Final answer
    x = 229.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.