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Finding the Fourth Proportional to 332.69, 459.10 and 185.31

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Solution

The fourth proportional to 332.69, 459.10 and 185.31 is: 255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 459.10 = 185.31 : x
  2. Step 2: Convert to fraction form
    332.69/459.10 = 185.31/x
  3. Step 3: Cross multiply
    332.69x = 459.10 × 185.31
  4. Step 4: Simplify right side
    332.69x = 85,077.08
  5. Step 5: Solve for x
    x = 85,077.08/332.69
  6. Step 6: Final answer
    x = 255.73

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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.