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Finding the Fourth Proportional to 256, 353.36 and 145.54

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Solution

The fourth proportional to 256, 353.36 and 145.54 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 353.36 = 145.54 : x
  2. Step 2: Convert to fraction form
    256/353.36 = 145.54/x
  3. Step 3: Cross multiply
    256x = 353.36 × 145.54
  4. Step 4: Simplify right side
    256x = 51,428.01
  5. Step 5: Solve for x
    x = 51,428.01/256
  6. Step 6: Final answer
    x = 200.89

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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.