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Finding the Fourth Proportional to 549.53, 824.12 and 184.23

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Solution

The fourth proportional to 549.53, 824.12 and 184.23 is: 276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.53 : 824.12 = 184.23 : x
  2. Step 2: Convert to fraction form
    549.53/824.12 = 184.23/x
  3. Step 3: Cross multiply
    549.53x = 824.12 × 184.23
  4. Step 4: Simplify right side
    549.53x = 151,822.59
  5. Step 5: Solve for x
    x = 151,822.59/549.53
  6. Step 6: Final answer
    x = 276.28

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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.