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Finding the Fourth Proportional to 214.38, 295.38 and 213.48

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Solution

The fourth proportional to 214.38, 295.38 and 213.48 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 295.38 = 213.48 : x
  2. Step 2: Convert to fraction form
    214.38/295.38 = 213.48/x
  3. Step 3: Cross multiply
    214.38x = 295.38 × 213.48
  4. Step 4: Simplify right side
    214.38x = 63,057.72
  5. Step 5: Solve for x
    x = 63,057.72/214.38
  6. Step 6: Final answer
    x = 294.14

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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.