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Finding the Fourth Proportional to 362.60, 543.88 and 198.12

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Solution

The fourth proportional to 362.60, 543.88 and 198.12 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 543.88 = 198.12 : x
  2. Step 2: Convert to fraction form
    362.60/543.88 = 198.12/x
  3. Step 3: Cross multiply
    362.60x = 543.88 × 198.12
  4. Step 4: Simplify right side
    362.60x = 107,753.51
  5. Step 5: Solve for x
    x = 107,753.51/362.60
  6. Step 6: Final answer
    x = 297.17

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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.