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Finding the Fourth Proportional to 256.56, 382.70 and 232.24

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Solution

The fourth proportional to 256.56, 382.70 and 232.24 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 382.70 = 232.24 : x
  2. Step 2: Convert to fraction form
    256.56/382.70 = 232.24/x
  3. Step 3: Cross multiply
    256.56x = 382.70 × 232.24
  4. Step 4: Simplify right side
    256.56x = 88,878.25
  5. Step 5: Solve for x
    x = 88,878.25/256.56
  6. Step 6: Final answer
    x = 346.42

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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.