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Finding the Fourth Proportional to 218.30, 299.24 and 214.36

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Solution

The fourth proportional to 218.30, 299.24 and 214.36 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 299.24 = 214.36 : x
  2. Step 2: Convert to fraction form
    218.30/299.24 = 214.36/x
  3. Step 3: Cross multiply
    218.30x = 299.24 × 214.36
  4. Step 4: Simplify right side
    218.30x = 64,146.96
  5. Step 5: Solve for x
    x = 64,146.96/218.30
  6. Step 6: Final answer
    x = 293.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.