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Finding the Fourth Proportional to 168.35, 250.76 and 157.08

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Solution

The fourth proportional to 168.35, 250.76 and 157.08 is: 233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 250.76 = 157.08 : x
  2. Step 2: Convert to fraction form
    168.35/250.76 = 157.08/x
  3. Step 3: Cross multiply
    168.35x = 250.76 × 157.08
  4. Step 4: Simplify right side
    168.35x = 39,389.28
  5. Step 5: Solve for x
    x = 39,389.28/168.35
  6. Step 6: Final answer
    x = 233.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.