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Finding the Fourth Proportional to 549.32, 823.91 and 184.11

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Solution

The fourth proportional to 549.32, 823.91 and 184.11 is: 276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 823.91 = 184.11 : x
  2. Step 2: Convert to fraction form
    549.32/823.91 = 184.11/x
  3. Step 3: Cross multiply
    549.32x = 823.91 × 184.11
  4. Step 4: Simplify right side
    549.32x = 151,686.06
  5. Step 5: Solve for x
    x = 151,686.06/549.32
  6. Step 6: Final answer
    x = 276.14

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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.