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Finding the Fourth Proportional to 256.57, 382.73 and 229.23

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Solution

The fourth proportional to 256.57, 382.73 and 229.23 is: 341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 382.73 = 229.23 : x
  2. Step 2: Convert to fraction form
    256.57/382.73 = 229.23/x
  3. Step 3: Cross multiply
    256.57x = 382.73 × 229.23
  4. Step 4: Simplify right side
    256.57x = 87,732.05
  5. Step 5: Solve for x
    x = 87,732.05/256.57
  6. Step 6: Final answer
    x = 341.95

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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.