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Finding the Fourth Proportional to 362.24, 543.45 and 208.14

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Solution

The fourth proportional to 362.24, 543.45 and 208.14 is: 312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 543.45 = 208.14 : x
  2. Step 2: Convert to fraction form
    362.24/543.45 = 208.14/x
  3. Step 3: Cross multiply
    362.24x = 543.45 × 208.14
  4. Step 4: Simplify right side
    362.24x = 113,113.68
  5. Step 5: Solve for x
    x = 113,113.68/362.24
  6. Step 6: Final answer
    x = 312.27

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