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Finding the Fourth Proportional to 362.40, 500.02 and 205

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Solution

The fourth proportional to 362.40, 500.02 and 205 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 500.02 = 205 : x
  2. Step 2: Convert to fraction form
    362.40/500.02 = 205/x
  3. Step 3: Cross multiply
    362.40x = 500.02 × 205
  4. Step 4: Simplify right side
    362.40x = 102,504.10
  5. Step 5: Solve for x
    x = 102,504.10/362.40
  6. Step 6: Final answer
    x = 282.85

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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.