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Finding the Fourth Proportional to 256.27, 352.75 and 214.36

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Solution

The fourth proportional to 256.27, 352.75 and 214.36 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.27 : 352.75 = 214.36 : x
  2. Step 2: Convert to fraction form
    256.27/352.75 = 214.36/x
  3. Step 3: Cross multiply
    256.27x = 352.75 × 214.36
  4. Step 4: Simplify right side
    256.27x = 75,614.42
  5. Step 5: Solve for x
    x = 75,614.42/256.27
  6. Step 6: Final answer
    x = 295.06

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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.