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Finding the Fourth Proportional to 362.38, 499.98 and 205

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Solution

The fourth proportional to 362.38, 499.98 and 205 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.38 : 499.98 = 205 : x
  2. Step 2: Convert to fraction form
    362.38/499.98 = 205/x
  3. Step 3: Cross multiply
    362.38x = 499.98 × 205
  4. Step 4: Simplify right side
    362.38x = 102,495.90
  5. Step 5: Solve for x
    x = 102,495.90/362.38
  6. Step 6: Final answer
    x = 282.84

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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.