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Finding the Fourth Proportional to 256.50, 353.63 and 214.88

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Solution

The fourth proportional to 256.50, 353.63 and 214.88 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 353.63 = 214.88 : x
  2. Step 2: Convert to fraction form
    256.50/353.63 = 214.88/x
  3. Step 3: Cross multiply
    256.50x = 353.63 × 214.88
  4. Step 4: Simplify right side
    256.50x = 75,986.78
  5. Step 5: Solve for x
    x = 75,986.78/256.50
  6. Step 6: Final answer
    x = 296.24

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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.