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Finding the Fourth Proportional to 549.79, 824.58 and 159.81

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Solution

The fourth proportional to 549.79, 824.58 and 159.81 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.79 : 824.58 = 159.81 : x
  2. Step 2: Convert to fraction form
    549.79/824.58 = 159.81/x
  3. Step 3: Cross multiply
    549.79x = 824.58 × 159.81
  4. Step 4: Simplify right side
    549.79x = 131,773.04
  5. Step 5: Solve for x
    x = 131,773.04/549.79
  6. Step 6: Final answer
    x = 239.68

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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.