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Finding the Fourth Proportional to 362.66, 500.40 and 205.25

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Solution

The fourth proportional to 362.66, 500.40 and 205.25 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.66 : 500.40 = 205.25 : x
  2. Step 2: Convert to fraction form
    362.66/500.40 = 205.25/x
  3. Step 3: Cross multiply
    362.66x = 500.40 × 205.25
  4. Step 4: Simplify right side
    362.66x = 102,704.60
  5. Step 5: Solve for x
    x = 102,704.60/362.66
  6. Step 6: Final answer
    x = 283.20

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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.