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Finding the Fourth Proportional to 366.60, 505.02 and 255.90

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Solution

The fourth proportional to 366.60, 505.02 and 255.90 is: 352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.60 : 505.02 = 255.90 : x
  2. Step 2: Convert to fraction form
    366.60/505.02 = 255.90/x
  3. Step 3: Cross multiply
    366.60x = 505.02 × 255.90
  4. Step 4: Simplify right side
    366.60x = 129,234.62
  5. Step 5: Solve for x
    x = 129,234.62/366.60
  6. Step 6: Final answer
    x = 352.52

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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.