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Finding the Fourth Proportional to 256.29, 352.78 and 194.01

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Solution

The fourth proportional to 256.29, 352.78 and 194.01 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 352.78 = 194.01 : x
  2. Step 2: Convert to fraction form
    256.29/352.78 = 194.01/x
  3. Step 3: Cross multiply
    256.29x = 352.78 × 194.01
  4. Step 4: Simplify right side
    256.29x = 68,442.85
  5. Step 5: Solve for x
    x = 68,442.85/256.29
  6. Step 6: Final answer
    x = 267.05

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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.