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Finding the Fourth Proportional to 218.13, 325.83 and 214.08

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Solution

The fourth proportional to 218.13, 325.83 and 214.08 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.13 : 325.83 = 214.08 : x
  2. Step 2: Convert to fraction form
    218.13/325.83 = 214.08/x
  3. Step 3: Cross multiply
    218.13x = 325.83 × 214.08
  4. Step 4: Simplify right side
    218.13x = 69,753.69
  5. Step 5: Solve for x
    x = 69,753.69/218.13
  6. Step 6: Final answer
    x = 319.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.