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Finding the Fourth Proportional to 549.90, 824.82 and 184.65

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Solution

The fourth proportional to 549.90, 824.82 and 184.65 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 824.82 = 184.65 : x
  2. Step 2: Convert to fraction form
    549.90/824.82 = 184.65/x
  3. Step 3: Cross multiply
    549.90x = 824.82 × 184.65
  4. Step 4: Simplify right side
    549.90x = 152,303.01
  5. Step 5: Solve for x
    x = 152,303.01/549.90
  6. Step 6: Final answer
    x = 276.96

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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.