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Finding the Fourth Proportional to 256.71, 383.24 and 225.63

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Solution

The fourth proportional to 256.71, 383.24 and 225.63 is: 336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 383.24 = 225.63 : x
  2. Step 2: Convert to fraction form
    256.71/383.24 = 225.63/x
  3. Step 3: Cross multiply
    256.71x = 383.24 × 225.63
  4. Step 4: Simplify right side
    256.71x = 86,469.31
  5. Step 5: Solve for x
    x = 86,469.31/256.71
  6. Step 6: Final answer
    x = 336.84

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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.