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Finding the Fourth Proportional to 362.47, 500.20 and 205.10

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Solution

The fourth proportional to 362.47, 500.20 and 205.10 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.47 : 500.20 = 205.10 : x
  2. Step 2: Convert to fraction form
    362.47/500.20 = 205.10/x
  3. Step 3: Cross multiply
    362.47x = 500.20 × 205.10
  4. Step 4: Simplify right side
    362.47x = 102,588.78
  5. Step 5: Solve for x
    x = 102,588.78/362.47
  6. Step 6: Final answer
    x = 283.03

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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.