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Finding the Fourth Proportional to 549.09, 823.65 and 159.12

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Solution

The fourth proportional to 549.09, 823.65 and 159.12 is: 238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.09 : 823.65 = 159.12 : x
  2. Step 2: Convert to fraction form
    549.09/823.65 = 159.12/x
  3. Step 3: Cross multiply
    549.09x = 823.65 × 159.12
  4. Step 4: Simplify right side
    549.09x = 131,059.19
  5. Step 5: Solve for x
    x = 131,059.19/549.09
  6. Step 6: Final answer
    x = 238.68

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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.