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Finding the Fourth Proportional to 256.07, 353.38 and 145.54

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Solution

The fourth proportional to 256.07, 353.38 and 145.54 is: 200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.07 : 353.38 = 145.54 : x
  2. Step 2: Convert to fraction form
    256.07/353.38 = 145.54/x
  3. Step 3: Cross multiply
    256.07x = 353.38 × 145.54
  4. Step 4: Simplify right side
    256.07x = 51,431.66
  5. Step 5: Solve for x
    x = 51,431.66/256.07
  6. Step 6: Final answer
    x = 200.85

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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.