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Finding the Fourth Proportional to 264.24, 395.96 and 167.76

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Solution

The fourth proportional to 264.24, 395.96 and 167.76 is: 251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 395.96 = 167.76 : x
  2. Step 2: Convert to fraction form
    264.24/395.96 = 167.76/x
  3. Step 3: Cross multiply
    264.24x = 395.96 × 167.76
  4. Step 4: Simplify right side
    264.24x = 66,426.25
  5. Step 5: Solve for x
    x = 66,426.25/264.24
  6. Step 6: Final answer
    x = 251.39

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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.