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Finding the Fourth Proportional to 364.92, 547.46 and 182.24

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Solution

The fourth proportional to 364.92, 547.46 and 182.24 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 547.46 = 182.24 : x
  2. Step 2: Convert to fraction form
    364.92/547.46 = 182.24/x
  3. Step 3: Cross multiply
    364.92x = 547.46 × 182.24
  4. Step 4: Simplify right side
    364.92x = 99,769.11
  5. Step 5: Solve for x
    x = 99,769.11/364.92
  6. Step 6: Final answer
    x = 273.40

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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.