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Finding the Fourth Proportional to 643.38, 965.02 and 181.16

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Solution

The fourth proportional to 643.38, 965.02 and 181.16 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.38 : 965.02 = 181.16 : x
  2. Step 2: Convert to fraction form
    643.38/965.02 = 181.16/x
  3. Step 3: Cross multiply
    643.38x = 965.02 × 181.16
  4. Step 4: Simplify right side
    643.38x = 174,823.02
  5. Step 5: Solve for x
    x = 174,823.02/643.38
  6. Step 6: Final answer
    x = 271.73

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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.