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Finding the Fourth Proportional to 168.04, 250.37 and 157

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Solution

The fourth proportional to 168.04, 250.37 and 157 is: 233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 250.37 = 157 : x
  2. Step 2: Convert to fraction form
    168.04/250.37 = 157/x
  3. Step 3: Cross multiply
    168.04x = 250.37 × 157
  4. Step 4: Simplify right side
    168.04x = 39,308.09
  5. Step 5: Solve for x
    x = 39,308.09/168.04
  6. Step 6: Final answer
    x = 233.92

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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.