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Finding the Fourth Proportional to 636.63, 954.95 and 174.46

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Solution

The fourth proportional to 636.63, 954.95 and 174.46 is: 261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.63 : 954.95 = 174.46 : x
  2. Step 2: Convert to fraction form
    636.63/954.95 = 174.46/x
  3. Step 3: Cross multiply
    636.63x = 954.95 × 174.46
  4. Step 4: Simplify right side
    636.63x = 166,600.58
  5. Step 5: Solve for x
    x = 166,600.58/636.63
  6. Step 6: Final answer
    x = 261.69

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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.