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Finding the Fourth Proportional to 641.96, 962.78 and 179.72

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Solution

The fourth proportional to 641.96, 962.78 and 179.72 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 962.78 = 179.72 : x
  2. Step 2: Convert to fraction form
    641.96/962.78 = 179.72/x
  3. Step 3: Cross multiply
    641.96x = 962.78 × 179.72
  4. Step 4: Simplify right side
    641.96x = 173,030.82
  5. Step 5: Solve for x
    x = 173,030.82/641.96
  6. Step 6: Final answer
    x = 269.54

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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.