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Finding the Fourth Proportional to 264.63, 396.64 and 173.17

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Solution

The fourth proportional to 264.63, 396.64 and 173.17 is: 259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.63 : 396.64 = 173.17 : x
  2. Step 2: Convert to fraction form
    264.63/396.64 = 173.17/x
  3. Step 3: Cross multiply
    264.63x = 396.64 × 173.17
  4. Step 4: Simplify right side
    264.63x = 68,684.72
  5. Step 5: Solve for x
    x = 68,684.72/264.63
  6. Step 6: Final answer
    x = 259.55

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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.