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Finding the Fourth Proportional to 549.26, 823.61 and 184

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Solution

The fourth proportional to 549.26, 823.61 and 184 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.26 : 823.61 = 184 : x
  2. Step 2: Convert to fraction form
    549.26/823.61 = 184/x
  3. Step 3: Cross multiply
    549.26x = 823.61 × 184
  4. Step 4: Simplify right side
    549.26x = 151,544.24
  5. Step 5: Solve for x
    x = 151,544.24/549.26
  6. Step 6: Final answer
    x = 275.91

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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.