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Finding the Fourth Proportional to 185.42, 255.76 and 157.68

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Solution

The fourth proportional to 185.42, 255.76 and 157.68 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 255.76 = 157.68 : x
  2. Step 2: Convert to fraction form
    185.42/255.76 = 157.68/x
  3. Step 3: Cross multiply
    185.42x = 255.76 × 157.68
  4. Step 4: Simplify right side
    185.42x = 40,327.84
  5. Step 5: Solve for x
    x = 40,327.84/185.42
  6. Step 6: Final answer
    x = 217.49

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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.