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Finding the Fourth Proportional to 332.79, 459.21 and 185.40

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Solution

The fourth proportional to 332.79, 459.21 and 185.40 is: 255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.79 : 459.21 = 185.40 : x
  2. Step 2: Convert to fraction form
    332.79/459.21 = 185.40/x
  3. Step 3: Cross multiply
    332.79x = 459.21 × 185.40
  4. Step 4: Simplify right side
    332.79x = 85,137.53
  5. Step 5: Solve for x
    x = 85,137.53/332.79
  6. Step 6: Final answer
    x = 255.83

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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.