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Finding the Fourth Proportional to 465.96, 699.03 and 157.80

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Solution

The fourth proportional to 465.96, 699.03 and 157.80 is: 236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 699.03 = 157.80 : x
  2. Step 2: Convert to fraction form
    465.96/699.03 = 157.80/x
  3. Step 3: Cross multiply
    465.96x = 699.03 × 157.80
  4. Step 4: Simplify right side
    465.96x = 110,306.93
  5. Step 5: Solve for x
    x = 110,306.93/465.96
  6. Step 6: Final answer
    x = 236.73

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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.