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Finding the Fourth Proportional to 256.02, 353.32 and 145.49

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Solution

The fourth proportional to 256.02, 353.32 and 145.49 is: 200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 353.32 = 145.49 : x
  2. Step 2: Convert to fraction form
    256.02/353.32 = 145.49/x
  3. Step 3: Cross multiply
    256.02x = 353.32 × 145.49
  4. Step 4: Simplify right side
    256.02x = 51,404.53
  5. Step 5: Solve for x
    x = 51,404.53/256.02
  6. Step 6: Final answer
    x = 200.78

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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.