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Finding the Fourth Proportional to 641.58, 962.26 and 179.25

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Solution

The fourth proportional to 641.58, 962.26 and 179.25 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.58 : 962.26 = 179.25 : x
  2. Step 2: Convert to fraction form
    641.58/962.26 = 179.25/x
  3. Step 3: Cross multiply
    641.58x = 962.26 × 179.25
  4. Step 4: Simplify right side
    641.58x = 172,485.11
  5. Step 5: Solve for x
    x = 172,485.11/641.58
  6. Step 6: Final answer
    x = 268.84

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