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Finding the Fourth Proportional to 168.43, 232.74 and 152.23

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Solution

The fourth proportional to 168.43, 232.74 and 152.23 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.43 : 232.74 = 152.23 : x
  2. Step 2: Convert to fraction form
    168.43/232.74 = 152.23/x
  3. Step 3: Cross multiply
    168.43x = 232.74 × 152.23
  4. Step 4: Simplify right side
    168.43x = 35,430.01
  5. Step 5: Solve for x
    x = 35,430.01/168.43
  6. Step 6: Final answer
    x = 210.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.