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Finding the Fourth Proportional to 256.32, 353.16 and 219.60

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Solution

The fourth proportional to 256.32, 353.16 and 219.60 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.32 : 353.16 = 219.60 : x
  2. Step 2: Convert to fraction form
    256.32/353.16 = 219.60/x
  3. Step 3: Cross multiply
    256.32x = 353.16 × 219.60
  4. Step 4: Simplify right side
    256.32x = 77,553.94
  5. Step 5: Solve for x
    x = 77,553.94/256.32
  6. Step 6: Final answer
    x = 302.57

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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.