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Finding the Fourth Proportional to 332.81, 459.17 and 185.42

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Solution

The fourth proportional to 332.81, 459.17 and 185.42 is: 255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.81 : 459.17 = 185.42 : x
  2. Step 2: Convert to fraction form
    332.81/459.17 = 185.42/x
  3. Step 3: Cross multiply
    332.81x = 459.17 × 185.42
  4. Step 4: Simplify right side
    332.81x = 85,137.01
  5. Step 5: Solve for x
    x = 85,137.01/332.81
  6. Step 6: Final answer
    x = 255.81

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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.