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Finding the Fourth Proportional to 256.23, 353.61 and 144.21

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Solution

The fourth proportional to 256.23, 353.61 and 144.21 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 353.61 = 144.21 : x
  2. Step 2: Convert to fraction form
    256.23/353.61 = 144.21/x
  3. Step 3: Cross multiply
    256.23x = 353.61 × 144.21
  4. Step 4: Simplify right side
    256.23x = 50,994.10
  5. Step 5: Solve for x
    x = 50,994.10/256.23
  6. Step 6: Final answer
    x = 199.02

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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.