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Finding the Fourth Proportional to 362.60, 543.68 and 200.24

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Solution

The fourth proportional to 362.60, 543.68 and 200.24 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 543.68 = 200.24 : x
  2. Step 2: Convert to fraction form
    362.60/543.68 = 200.24/x
  3. Step 3: Cross multiply
    362.60x = 543.68 × 200.24
  4. Step 4: Simplify right side
    362.60x = 108,866.48
  5. Step 5: Solve for x
    x = 108,866.48/362.60
  6. Step 6: Final answer
    x = 300.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.