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Finding the Fourth Proportional to 256.03, 353.28 and 145.48

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Solution

The fourth proportional to 256.03, 353.28 and 145.48 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.03 : 353.28 = 145.48 : x
  2. Step 2: Convert to fraction form
    256.03/353.28 = 145.48/x
  3. Step 3: Cross multiply
    256.03x = 353.28 × 145.48
  4. Step 4: Simplify right side
    256.03x = 51,395.17
  5. Step 5: Solve for x
    x = 51,395.17/256.03
  6. Step 6: Final answer
    x = 200.74

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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.