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Finding the Fourth Proportional to 256.21, 353.71 and 180.62

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Solution

The fourth proportional to 256.21, 353.71 and 180.62 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.21 : 353.71 = 180.62 : x
  2. Step 2: Convert to fraction form
    256.21/353.71 = 180.62/x
  3. Step 3: Cross multiply
    256.21x = 353.71 × 180.62
  4. Step 4: Simplify right side
    256.21x = 63,887.10
  5. Step 5: Solve for x
    x = 63,887.10/256.21
  6. Step 6: Final answer
    x = 249.35

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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.