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Finding the Fourth Proportional to 256.62, 382.92 and 229.35

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Solution

The fourth proportional to 256.62, 382.92 and 229.35 is: 342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.62 : 382.92 = 229.35 : x
  2. Step 2: Convert to fraction form
    256.62/382.92 = 229.35/x
  3. Step 3: Cross multiply
    256.62x = 382.92 × 229.35
  4. Step 4: Simplify right side
    256.62x = 87,822.70
  5. Step 5: Solve for x
    x = 87,822.70/256.62
  6. Step 6: Final answer
    x = 342.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.