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Finding the Fourth Proportional to 256.96, 354.60 and 146.47

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Solution

The fourth proportional to 256.96, 354.60 and 146.47 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 354.60 = 146.47 : x
  2. Step 2: Convert to fraction form
    256.96/354.60 = 146.47/x
  3. Step 3: Cross multiply
    256.96x = 354.60 × 146.47
  4. Step 4: Simplify right side
    256.96x = 51,936.49
  5. Step 5: Solve for x
    x = 51,936.49/256.96
  6. Step 6: Final answer
    x = 202.12

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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.