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Finding the Fourth Proportional to 362.35, 500.04 and 196.55

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Solution

The fourth proportional to 362.35, 500.04 and 196.55 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.35 : 500.04 = 196.55 : x
  2. Step 2: Convert to fraction form
    362.35/500.04 = 196.55/x
  3. Step 3: Cross multiply
    362.35x = 500.04 × 196.55
  4. Step 4: Simplify right side
    362.35x = 98,284.11
  5. Step 5: Solve for x
    x = 98,284.11/362.35
  6. Step 6: Final answer
    x = 271.24

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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.