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Finding the Fourth Proportional to 549.16, 823.89 and 178.96

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Solution

The fourth proportional to 549.16, 823.89 and 178.96 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 823.89 = 178.96 : x
  2. Step 2: Convert to fraction form
    549.16/823.89 = 178.96/x
  3. Step 3: Cross multiply
    549.16x = 823.89 × 178.96
  4. Step 4: Simplify right side
    549.16x = 147,443.35
  5. Step 5: Solve for x
    x = 147,443.35/549.16
  6. Step 6: Final answer
    x = 268.49

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Why These Related Problems?

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