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Finding the Fourth Proportional to 264.56, 397.02 and 159.11

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Solution

The fourth proportional to 264.56, 397.02 and 159.11 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.56 : 397.02 = 159.11 : x
  2. Step 2: Convert to fraction form
    264.56/397.02 = 159.11/x
  3. Step 3: Cross multiply
    264.56x = 397.02 × 159.11
  4. Step 4: Simplify right side
    264.56x = 63,171.44
  5. Step 5: Solve for x
    x = 63,171.44/264.56
  6. Step 6: Final answer
    x = 238.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.