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Finding the Fourth Proportional to 364.69, 547.21 and 182.10

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Solution

The fourth proportional to 364.69, 547.21 and 182.10 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.69 : 547.21 = 182.10 : x
  2. Step 2: Convert to fraction form
    364.69/547.21 = 182.10/x
  3. Step 3: Cross multiply
    364.69x = 547.21 × 182.10
  4. Step 4: Simplify right side
    364.69x = 99,645.12
  5. Step 5: Solve for x
    x = 99,645.12/364.69
  6. Step 6: Final answer
    x = 273.24

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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.