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Finding the Fourth Proportional to 332.63, 459.02 and 185.27

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Solution

The fourth proportional to 332.63, 459.02 and 185.27 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.63 : 459.02 = 185.27 : x
  2. Step 2: Convert to fraction form
    332.63/459.02 = 185.27/x
  3. Step 3: Cross multiply
    332.63x = 459.02 × 185.27
  4. Step 4: Simplify right side
    332.63x = 85,039.41
  5. Step 5: Solve for x
    x = 85,039.41/332.63
  6. Step 6: Final answer
    x = 255.66

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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.