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Finding the Fourth Proportional to 256.10, 353.41 and 139.66

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Solution

The fourth proportional to 256.10, 353.41 and 139.66 is: 192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 353.41 = 139.66 : x
  2. Step 2: Convert to fraction form
    256.10/353.41 = 139.66/x
  3. Step 3: Cross multiply
    256.10x = 353.41 × 139.66
  4. Step 4: Simplify right side
    256.10x = 49,357.24
  5. Step 5: Solve for x
    x = 49,357.24/256.10
  6. Step 6: Final answer
    x = 192.73

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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.