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Finding the Fourth Proportional to 549.47, 824.13 and 184.23

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Solution

The fourth proportional to 549.47, 824.13 and 184.23 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.47 : 824.13 = 184.23 : x
  2. Step 2: Convert to fraction form
    549.47/824.13 = 184.23/x
  3. Step 3: Cross multiply
    549.47x = 824.13 × 184.23
  4. Step 4: Simplify right side
    549.47x = 151,829.47
  5. Step 5: Solve for x
    x = 151,829.47/549.47
  6. Step 6: Final answer
    x = 276.32

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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.