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Finding the Fourth Proportional to 256.00, 353.24 and 145.45

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Solution

The fourth proportional to 256.00, 353.24 and 145.45 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.00 : 353.24 = 145.45 : x
  2. Step 2: Convert to fraction form
    256.00/353.24 = 145.45/x
  3. Step 3: Cross multiply
    256.00x = 353.24 × 145.45
  4. Step 4: Simplify right side
    256.00x = 51,378.03
  5. Step 5: Solve for x
    x = 51,378.03/256.00
  6. Step 6: Final answer
    x = 200.70

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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.