Home / 549.24-823.90-184.04

Finding the Fourth Proportional to 549.24, 823.90 and 184.04

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Solution

The fourth proportional to 549.24, 823.90 and 184.04 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 823.90 = 184.04 : x
  2. Step 2: Convert to fraction form
    549.24/823.90 = 184.04/x
  3. Step 3: Cross multiply
    549.24x = 823.90 × 184.04
  4. Step 4: Simplify right side
    549.24x = 151,630.56
  5. Step 5: Solve for x
    x = 151,630.56/549.24
  6. Step 6: Final answer
    x = 276.07

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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.