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Finding the Fourth Proportional to 256.75, 354.33 and 146.19

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Solution

The fourth proportional to 256.75, 354.33 and 146.19 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.75 : 354.33 = 146.19 : x
  2. Step 2: Convert to fraction form
    256.75/354.33 = 146.19/x
  3. Step 3: Cross multiply
    256.75x = 354.33 × 146.19
  4. Step 4: Simplify right side
    256.75x = 51,799.50
  5. Step 5: Solve for x
    x = 51,799.50/256.75
  6. Step 6: Final answer
    x = 201.75

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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.