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Finding the Fourth Proportional to 362.21, 499.86 and 214.81

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Solution

The fourth proportional to 362.21, 499.86 and 214.81 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.21 : 499.86 = 214.81 : x
  2. Step 2: Convert to fraction form
    362.21/499.86 = 214.81/x
  3. Step 3: Cross multiply
    362.21x = 499.86 × 214.81
  4. Step 4: Simplify right side
    362.21x = 107,373.68
  5. Step 5: Solve for x
    x = 107,373.68/362.21
  6. Step 6: Final answer
    x = 296.44

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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.