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Finding the Fourth Proportional to 362.40, 500.05 and 205.02

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Solution

The fourth proportional to 362.40, 500.05 and 205.02 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 500.05 = 205.02 : x
  2. Step 2: Convert to fraction form
    362.40/500.05 = 205.02/x
  3. Step 3: Cross multiply
    362.40x = 500.05 × 205.02
  4. Step 4: Simplify right side
    362.40x = 102,520.25
  5. Step 5: Solve for x
    x = 102,520.25/362.40
  6. Step 6: Final answer
    x = 282.89

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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.