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Finding the Fourth Proportional to 634.25, 951.54 and 178.25

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Solution

The fourth proportional to 634.25, 951.54 and 178.25 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.25 : 951.54 = 178.25 : x
  2. Step 2: Convert to fraction form
    634.25/951.54 = 178.25/x
  3. Step 3: Cross multiply
    634.25x = 951.54 × 178.25
  4. Step 4: Simplify right side
    634.25x = 169,612.01
  5. Step 5: Solve for x
    x = 169,612.01/634.25
  6. Step 6: Final answer
    x = 267.42

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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.