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Finding the Fourth Proportional to 256.68, 354.20 and 140.24

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Solution

The fourth proportional to 256.68, 354.20 and 140.24 is: 193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.68 : 354.20 = 140.24 : x
  2. Step 2: Convert to fraction form
    256.68/354.20 = 140.24/x
  3. Step 3: Cross multiply
    256.68x = 354.20 × 140.24
  4. Step 4: Simplify right side
    256.68x = 49,673.01
  5. Step 5: Solve for x
    x = 49,673.01/256.68
  6. Step 6: Final answer
    x = 193.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.